Topological groups (Q1059160)

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scientific article; zbMATH DE number 3902933

Language	Label	Description	Also known as
English	Topological groups	scientific article; zbMATH DE number 3902933

Statements

scholarly article

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Topological groups (English)

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Journal of Soviet Mathematics

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publication date

1985

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zbMATH Keywords

group topologies

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morphisms

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commutativity

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finiteness

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discreteness

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subgroups

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varieties

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MaRDI profile type

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Point processes with a conditionally independent uniform distribution of points on intervals

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Projective Profinite Groups

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Topological nilgroups of matrices

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Topological groups with invariant centralizers of elements

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Locally compact abelian groups of finite rank

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Automorphism groups of compact, totally disconnected, nilpotent groups

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Existence of compact totally disconnected groups with a locally compact but noncompact group of topological automorphisms

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Estimate of the rank of locally compact, solvable groups

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Estimate of the rank of connected locally compact nilpotent groups

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Locally compact groups of finite rank

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Lokal kompakte Gruppen mit distributivem Verband abgeschlossener Untergruppen

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Semimodular compact groups

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Projections of abelian topological groups

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Finitely generated, connected groups

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On certain types of groups of rank one

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The topological isolator of a subgroup of finite rank

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Dualisms of topological abelian groups

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Topological groups with compact lattice of closed subgroups

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Topological properties of the lattice of subgroups

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Groups with the minimality condition for the subgroups

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An analog of the two-dimensional local limit theorem

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On the asymptotic spectrum of ''nonsmooth'' elliptic equations

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Enden von Räumen mit eigentlichen Transformationsgruppen

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Kompakt definierbare topologische Gruppen. (Compactly definable topological groups)

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Normen auf freien topologischen Gruppen. (Normes on free topological groups.)

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Specker--Kompaktifizierungen von lokal kompakten topologischen Gruppen

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Über eigentliche Transformationsgruppen

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Factorization of locally compact Abelian groups

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Non-abelian Pontriagin duality

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Paracompact topological groups and uniform continuity

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Closed Subgroups of a Locally Compact Group

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Subgroups of finite index in profinite groups

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Expansive automorphisms of locally compact solvable groups

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Can an LCA Group be Anti-Self-Dual?

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Compactly cogenerated LCA groups

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Generators of Monothetic Groups

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Mapping properties of characters of LCA groups

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On Pure Subgroups of LCA Groups

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Remark on my Paper "Generators of Monothetic Groups"

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Sufficiency Classes of LCA Groups

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Well-Known LCA Groups Characterized by their Closed Subgroups

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On p-thetic groups

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On Q-Dense and Densely Divisible LCA Groups

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Uniqueness in Structure Theorems for LCA Groups

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Locally Compact Groups Without Distinct Isomorphic Closed Subgroups

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Semidirect Products of Topological Groups with Equal Uniformities

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Topological Groups with Equal Left and Right Uniformities

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A note on the duality of locally compact groups

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Topological Groups and the Closed-Graph Theorem

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The ideal structure of the Stone-Čech compactification of a group

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Fuglede's Theorem and Limits of Spectral Operators

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Shorter Notes: On the Difference of Two Second Category Baire Sets in a Topological Group

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Locally compact topologies on a group and the corresponding continuous irreducible representations

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Norms on Free Topological Groups

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A subgroup theorem for free products of pro-finite groups

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Sur la cohomologie continue des groupes localement compacts

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The 5<sup>th</sup> Hilbert‐Problem

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Über den Zusammenhang zwischen den Kompaktifizierungen einer topologischen Gruppe und den Kompaktifizierungen ihrer Normalteiler und Faktorgruppen

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Connectedness properties of locally compact groups

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On the structure of connected locally compact groups

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Über gewisse Verbände von Untergruppen pro-endlicher Gruppen

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Generating varieties of topological groups

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Extensions of topological groups

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Locally compact abelian groups with trivial multiplier group

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Note on the open mapping theorem

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Topologically Complete Groups

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Fixed points of endomorphisms of compact groups

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Some Nonprojective Subgroups of Free Topological Groups

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Subgroups of Free Topological Groups and Free Topological Products of Topological Groups

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Countable products and sums of lines and circles: their closed subgroups, quotients and duality properties

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Embeddings in contractible or compact objects

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A question concerning CZ-groups

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ON LOCALLY FINITE <i>CZ</i>-GROUPS

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Varieties of topological groups generated by Lie groups

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The Category of Generalized Lie Groups

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Borel Structures in Groups and Semigroups.

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Minimally weakly almost periodic groups

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Compactification and Duality of Topological Groups

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The Commutator Subgroup of a Free Topological Group Need Not be Projective

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Density character in topological groups

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Pseudocompactness and uniform continuity in topological groups

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Compactness in Hom(<i>G</i>, <i>H</i>)

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Some Remarks on Self-Dual Locally Compact Abelian Groups

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Uniqueness of Topology for the p-Adic Integers

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Fixed Points of Automorphisms

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Completions of topological Abelianp-groups

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The structure of connected <i>LP</i> -groups with finite-dimensional Lie algebra <i>Dedicated to the 25th Anniversary of the G.D.R.</i>

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On Pontryagin duality

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Representative functions on topological groups

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Über die Zusammenhangskomponente des Neutralelements einer kompakten Gruppe

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Examples of locally compact non-compact minimal topological groups

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Some examples in connection with Pontryagin's duality theorem

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The union of compact subgroups of a connected locally compact group

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Nilpotent Topological Groups

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Continuity of homomorphisms

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On locally compact wreath products

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A Note on Positively Expansive Endomorphisms.

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Embedding a Transformation Group in an Automorphism Group

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Expansive transformation semigroups of endomorphisms

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Inverse Limites von Funktoren auf Kategorien kompakter Räume. Existenz- und Konjugiertensätze für kompakte Gruppen

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Torsionskompakte Gruppen

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On local connectedness of locally compact Abelian groups

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Remarks on the free product of two Hausdorff groups

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Eine Bemerkung über lokalkompakte abelsche Gruppen

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Über eine Kompaktifizierung topologischer Gruppen. II.

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Zur Bohr-Konvergenz von Folgen.

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Note on Linearly Compact Abelian Groups

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Homological Study of Purity in Locally Compact Groups

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Splitting locally compact abelian groups

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Extensions of locally compact abelian groups. I

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The Baire set fixing property and uniform continuity in topological groups

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The Baire set fixing property in topological groups

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Kernels of Homomorphisms of Topological Groups

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Lattices and the Adjoint Group of a Lie Group

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Tensor products of topological Abelian groups.

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A Kurosh Subgroup Theorem for Free Pro--Products of Pro--Groups

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Profinite groups and Boolean graphs

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On the Density Character of Closed Subgroups

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Topological Dynamics and Group Theory

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Free products of compact general algebras

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Absolutely closed Lie groups

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Inconsistent and Incomplete Logics

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Topological groups which satisfy an open mapping theorem

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Über Automorphismengruppen lokal-kompakter Gruppen und Derivationen von Lie-Gruppen

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Compactness conditions in topological groups.

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On central topological groups

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On Central Topological Groups

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Representation Theory of Central Topological Groups

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A Frobenius‐ Wielandt Theorem for Compact Groups

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A Finiteness Condition for Locally Compact Abelian Groups

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Finiteness theorems for polycyclic groups

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A separable normal topological group need not be Lindelöf

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� -Projective Objects

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Projective Topological Groups

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The free topological group on a cell complex

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A Note on Free Topological Groupoids

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The Free Topological Group on a Simply Connected Space

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Applications of the Stone-Cech Compactification to Free Topological Groups

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Subgroups of finite index in profinite groups

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Compact Group Topologies for R

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Einige Sätze über unendlich teilbare Wahrscheinlichkeitsmaße auf lokalkompakten Gruppen

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Compact Groups with Ordered Duals Iii

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Weak Frobenius reciprocity and compactness conditions in topological groups

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Compact torsion groups and finite exponent

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On the commutator subgroup of a nonconnected central group

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Untersuchung zu Kommutatorgruppen und Bohrkompaktifizierung in zentralen und kompakten Gruppen

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Untersuchungen zur Kommutatorgruppe in zentralen und kompakten topologischen Gruppen. II

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A structural property of certain locally compact Abelian groups

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Dualität lokalkompakter Gruppen

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Coproducts of topological Abelian groups

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Unrestricted Free Products, and Varieties of Topological Groups

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Non standard analysis and the compactification of groups

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Categories with convergence, exponential functors, and the cohomology of compact abelian groups

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Der Schursche Multiplikator topologischer Gruppen

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Tensorprodukte lokal kompakter abelscher Gruppen.

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Über das Nilradikal lokal kompakter Gruppen

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Zerfällung topologischer Gruppen

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Die topologische Struktur des Raumes der Epimorphismen kompakter Gruppen

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One dimensional coset spaces

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Splitting in topological groups

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On the Bohr compactification

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Erratum: On the Bohr compactification

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Locally Compact Subgroups of Metrizable Topological Abelian Groups

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Many Topological Abelian Groups Have Dense Divisible Subgroups

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Ends of locally compact groups and their coset spaces

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A Note on Second Category Topological Groups

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Linearly compact groups

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On Connectivity Properties of Finite-Dimensional Groups

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On the topology and geometry of arcwise connected, finite-dimensional groups

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Compactness in locally compact groups

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Closed Subgroups of Products of Reals

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A remark on finite dimensional compactifications

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On a closed graph theorem for topological groups

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Tall profinite groups

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Continuous measures, Baire category, and uniform continuity in topological groups

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The Existence of Homomorphisms in Compact Connected Abelian Groups

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Uniform Structure in Topological Groups

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Allied Subsets of Topological Groups and Linear Spaces

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Topologies in locally compact groups. II

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Normal automorphisms of free profinite groups

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Normal automorphisms of absolute Galois groups of p-adic fields

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A characterization of growth in locally compact groups

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Amenable Subsemigroups of a Locally Compact Group

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Growth of connected locally compact groups

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Dualitätstheorie der nichtkommutativen Gruppen mit Normalteilertopologie

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A Uniqueness Result for Topological Groups

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The topology of compact simple Lie groups is essentially unique

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A note on reduced duals of certain locally compact groups

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Topology in duals of SIN-groups

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On the isomorphism of topological groups

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Free products in the category of \(k_\omega\)-groups

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On extensions of locally compact groups and unitary groups.

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Infinite Abelian groups are highly topologizable

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Multipliers on Abelian groups

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On the sum and difference of two sets in topological vector spaces

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Zur Theorie der Gruppen mit Untergruppentopologie

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Quasinormalität in topologischen Gruppen

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Topologisch quasihamiltonsche Gruppen

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Topological wreath products

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On theorems of Thornton

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On Expansive Transformation Groups

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Group extensions by totally disconnected groups

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On Deformations of Homomorphisms of Locally Compact Groups

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On the Homomorphisms of Locally Compact Groups

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On Torsion Subgroups of Lie Groups

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Reductivity and the Automorphism Group of Locally Compact Groups

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Supplements for the identity component in locally compact groups

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The adjoint group of Lie groups

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On CA topological groups

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On conjugacy of homomorphisms of topological groups

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On conjugacy of homomorphisms of topological groups. II

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On Existence of Compact Open Normal Subgroups of 0-Dimensional Groups

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On the group of automorphisms of a finite-dimensional topological group

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On products of subgroups in polycyclic groups

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Every Locally Compact Map Group is Unimodular

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The automorphism group of a locally compact Abelian group

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Invariant means on a locally compact group

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Dual Spaces of Groups with Precompact Conjugacy Classes

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Free Topological Groups and the Projective Dimension of a Locally Compact Abelian Group

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Lie algebras associated with topological nilpotent groups

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Sur les produits filtres de certains groupes topologiques

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Shorter Notes: Representations of Almost Connected Groups

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Topologies in Locally Compact Groups, III

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Continuity properties of compact right topological groups

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Direct limits of topological spaces and groups

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Amenable subgroups of semi-simple groups and proximal flows

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Group Extensions and Cohomology for Locally Compact Groups. III

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Group Extensions and Cohomology for Locally Compact Groups. IV

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Groups with Finite Dimensional Irreducible Representations

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Free products of topological groups

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Lie groups in varieties of topological groups

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Local compactness and local invariance of free products of topological groups

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Locally Compact Abelian Groups and the Variety of Topological Groups Generated by the Reals

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Locally compact groups and β-varieties of topological groups

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On varieties of topological groups generated by solvable groups

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Quotient Groups of Topological Groups with No Small Subgroups

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Varieties of topological groups

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Varieties of topological groups II

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Varieties of topological groups III

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Varieties of topological groups and left adjoint functors

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Varieties of topological groups generated by maximally almost periodic groups

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Varieties of topological groups generated by solvable and nilpotent groups

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Locally compact group topologies on an algebraic free product of groups

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Free Topological Groups with no Small Subgroups

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Invariant metrics on free topological groups

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Homological Algebra in Locally Compact Abelian Groups

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A Schreier theorem for free topological groups

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Reflexivity of Topological Groups

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Subgroups of the Free Topological Group on [0, 1]

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A solenoidal and monothetic minimally almost periodic group

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Construction of group topologies on abelian groups

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Some examples of monothetic groups

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Verallgemeinerte Graphensätze für topologische Gruppen

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k-Groups and Duality

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K-Groups Generated by K-Spaces

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On epimorphisms of topological groups

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The Projective Dimension of a Compact Abelian Group

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Note on a theorem of Weil‐Abels

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On Subgroups of the First Kind.

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Spaces of closed subgroups of a connected Lie group

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The Connectedness of Fundamental Sets

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On prosupersolvable groups

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On the frattini subgroup of free products of profinite groups

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Homomorphic images of Lie groups

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Free k-groups and free topological groups

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Free Products of Topological Groups Which are k ω -Spaces

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Almost Locally Invariant Topological Groups

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Sui gruppi abeliani ridotti che ammettono una unica topologia compatta

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A note onW-groups

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Classes of nonabelian, noncompact, locally compact groups

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Die Norm lokal kompakter Gruppen

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Groups with completely regular primitive dual space

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Discontinuous characters and subgroups of finite index

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Fitting subgroups and profinite completions of polycyclic groups

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Automorphismengruppen diskreter Gruppen als topologische Gruppen

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Erweiterungen kompakter Gruppen durch abelsche Gruppen

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Fixelemente von Automorphismen nulldimensionaler abelscher Gruppen

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Klassen zusammenhängender Gruppen

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Lokal kompakte Gruppen mit gleichmäßig beschränkten Konjugiertenklassen

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Epimorphisms of Compact Groups are Onto

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The coproduct of two circles

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Zwei Klassen lokalkompakter maximal fastperiodischer Gruppen

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Complete lattices of subgroups in compact groups

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Kompakte Subnormalteiler

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Projektive Limites kompakter Räume

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Subnormalität in topologischen Gruppen

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Verbände vertauschbarer Untergruppen

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Einige Bemerkungen über der Raum der abgeschlossenen Mengen

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Some minimal group topologies are precompact

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Structure of monogenic groups

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Topologies in locally compact groups

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Ergodic automorphisms and affine transformations of locally compact groups

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On self dual 𝐿𝐶𝐴 groups

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Structure of self dual torsion free metric LCA groups

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On the continuity of group operations

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Groups with Equal Uniformities

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On Compactification and Structure of Topological Groups

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Non-archimedian metrizability of topological groups

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On sequential convergence in groups

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Amenable Groups and Groups with the Fixed Point Property

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Arcs in locally compact groups

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Locally Compact Topologies for Groups

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Some properties of locally compact groups

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On Extensions of Locally Compact Groups

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Homogeneity or otherwise for certain morphism spaces

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A note on the structure of Moore groups

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Connectivity, Divisibility, and Torsion

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The Additive Structure of Integer Groups and p-Adic Number Fields

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Splitting in Map Groups

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A Characterization of Unitary Duality

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Category theory applied to Pontryagin duality

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Functorial Characterizations of Pontryagin Duality

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A distal property of groups and the growth of connected locally compact groups

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Totally-disconnected compact metric groups

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Closed subgroups of locally compact Abelian groups

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The von Neumann Kernel and Minimally Almost Periodic Groups

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Homeomorphism and Isomorphism of Abelian Groups

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Topologische Gruppen mit endlichen Klassen konjugierter Elemente

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Dimensionality and the Duals of Certain Locally Compact Groups

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Nets of Subgroups and Amenability

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An example of a Q-minimal precompact topological group containing a nonminimal closed normal subgroup

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Compatible Group Topologies

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Relationships between group topologies

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One parameter subgroups and nonstandard analysis

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Compactness of Certain Homogeneous Spaces of Locally Compact Groups

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On Centralizers of Generalized Uniform Subgroups of Locally Compact Groups

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On products of profinite groups

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Minimal topological groups

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Uniqueness of the Topology in Certain Compact Groups

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CHABAUTY- und WEIL-Räume topologischer Gruppen

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Eine Bemerkung zur Nilpotenz lokal kompakter Gruppen

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Kompaktheitseigenschaften der Gruppe der Isometrien metrischer Räume

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On Countable Inductive Limits of Locally Compact Abelian Groups

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Duality Theory for Locally Compact Groups With Precompact Conjugacy Classes. II: The Dual Space

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Finite subgroups of locally compact groups

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Topologies in Free Algebras

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On polythetic groups

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Duality and von Neumann algebras

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duality and subgroups

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Duality and subgroups. II

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A duality theorem for locally compact groups. I - IV

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The type structure of the regular representation of a locally compact group

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Endomorphism near-ring of a relatively free group

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Free topological groups

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A remark on free topological groups with no small subgroups

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Torsion topological groups with minimal open sets

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A characterization of Pontryagin duality

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Compactness in Abelian topological groups

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Extensions of Pontryagin duality

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Interval of group topologies satisfying Pontryagin duality

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On locally compact abelian groups which are topologically pure in their Bohr compactifications

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Compactness Properties of Topological Groups

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Compactness properties of topological groups. II

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Compactness Properties of Topological Groups. III

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On a Compactness Property of Topological Groups

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On density properties of certain subgroups of locally compact groups

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On \(L\)-subgroups of locally compact groups

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On the Limit of Subgroups in a Group

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The automorphism group of a locally compact group

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Inverse limits and the completeness of quotient groups

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On the Automorphism Group of a Lie Group

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Dense Subgroups of Compact Groups

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Pseudocompact groups

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A Note on Groups with Relatively Compact Conjugacy Classes

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On the structure of maximally almost periodic groups

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On the Structure of Maximally Almost Periodic Groups.

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THE EXISTENCE OF A TOPOLOGICAL GROUP WITH AUTOMORPHISM GROUP <i>C<sub>7</sub></i>

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A Certain Type of Locally Compact Totally Disconnected Topological Groups

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Expansive Automorphisms in Compact Groups.

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Locally compact, totally disconnected, solvable groups

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On (CA) topological groups. II

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On the topology of a dual space

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Compactness conditions in topological groups

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Compactness properties of topological groups

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Topologically Semisimple Groups

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A characterization of multiplicative linear functionals in complex Banach algebras

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(CA) Topological Groups

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Dense Subgroups of Lie Groups. II

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Some Theorems on (CA) Analytic Group

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Some theorems on (CA) analytic groups. II

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Gruppentopologien auf nichtabelschen abzählbaren Gruppen

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full work available at URL

https://doi.org/10.1007/bf02105456

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Identifiers

zbMATH Open document ID

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10.1007/BF02105456

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:1059160

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