Infinite groups

DOI10.1007/BF01091962zbMath0479.20001OpenAlexW4211233530MaRDI QIDQ1161607

Vladimir N. Remeslennikov, Guennadi A. Noskov, Vitaliĭ Roman'kov

Publication date: 1982

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01091962

zbMATH Keywords

soluble groupsBibliographyperiodic groupsvarietiesresidually finite groupshomological methodsmodel-theoretic methodsfree constructionsrelatorsalgorithmic problems

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Solvable groups, supersolvable groups (20F16) Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Residual properties and generalizations; residually finite groups (20E26) Quasivarieties and varieties of groups (20E10) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Related Items (4)

Cryptanalysis of a combinatorial public key cryptosystem ⋮ Undecidability of the submonoid membership problem for free nilpotent group of class $l\geqslant 2$ of sufficiently large rank ⋮ Equations over solvable groups ⋮ Combinatorial description of derivations in group algebras

Cites Work

• Centrality in finitely generated soluble groups
• Automorphismen und Erzeugende für Gruppen mit einer definierenden Relation
• On the intersection of augmentation ideals
• Some examples of locally finite groups
• The conjugacy problem for a free product with amalgamation
• An example of a torsion-free nilpotent group having no outer automorphisms
• Representations of finite groups by automorphisms of nilpotent almost spaces and automorphisms of nilpotent groups
• On relators and diagrams for groups with one defining relation
• Artin-Gruppen und Coxeter-Gruppen
• On nilpotent groups of automorphisms with fixed-point-free action
• On groups satisfying Poincaré duality
• Maximale p-Untergruppen lokal endlicher Gruppen
• Sylow p-subgroups and local p-solubility
• On the homology theory of central group extensions. II: The exact sequence in the general case
• Some properties of a Magnus embedding
• Solvability of the membership problem in finitely generated solvable matrix groups over number fields
• On the Engel margin
• Nilpotent groups and Lie algebras. II
• Residual properties of free groups. III.
• The residual finiteness of certain amalgamated free products
• Eine Bemerkung zu den Triangel-Gruppen
• On Lie algebras satisfying the Engel condition
• A finitely presented solvable group that is not residually finite
• Some remarks about multiplicators and finitely presented groups
• Finitely presented groups: The deficiency
• Varietal homology and parafree groups
• Word problems. Decision problems and the Burnside problem in group theory
• Reductive groups over a local field
• On algebraically closed groups
• Guppen mit Poincaré-Dualität
• On the Schur multiplicator of a central quotient of a direct product of groups
• \(\aleph_0\)-categoricity of groups
• An example of two elementarily equivalent, but nonisomorphic finitely generated metabelian groups
• Exact representations for free groups
• Subgroups of groups with one defining relation that contain no free subgroups of rank 2
• Categorial quasivarieties
• Addendum to ``The lower central series of groups of a special class
• On varieties of solvable groups
• On generalised free products of torsion-free nilpotent groups. I
• Splitting theorems and Engel groups
• Residual properties of nilpotent and supersolvable groups
• Metanilpotent groups satisfying the minimal condition for normal subgroups
• On some finiteness conditions for varieties of metanilpotent groups
• The isomorphism problem for one-relator groups with non-trivial centre
• Localization and cohomology of nilpotent groups
• Centralisateurs des éléments d'ordre fini dans les groupes de Greendlinger
• An example of unsolvable just non-cross varieties of groups
• Real elements in small cancellation groups
• Non-hopfian groups with fully invariant kernels. II
• On minimal irregular p-Groups
• Commutators as Products of Squares
• On Recognising Certain One Relation Presentations
• On the differentials in the Lyndon-Hochschild-Serre spectral sequence
• Some infinitely based varieties of groups
• Groups Whose Homomorphic Images Have a Transitive Normality Relation
• Two Examples of Soluble Groups that are not Conjugacy Separable
• Determining Subgroups of a Given Finite Index in a Finitely Presented Group
• A topological proof of the residual finiteness of certain amalgamated free products
• Varietal generalisations of Schur multipliers, stem extensions and stem covers.
• Chains of Varieties
• Identity theorems in small‐cancellation groups
• Subnormality in Locally Finite Groups
• On the construction of soluble groups satisfying the minimal condition for normal subgroups
• Locally soluble groups with min-n.
• Polynomials associated with groups of exponent four
• The Exact Sequence of Hochschild-Serre in the Cohomology of Groups
• Join-Irreducible Cross Product Varieties of Groups
• Some infinite factor groups of Burnside groups
• The solvability of the conjugacy problem for certain HNN groups
• Products of Commutators as Products of Squares
• A Presentation for the Automorphism Group of a Free Group of Finite Rank
• On the embedding of a group in a join of given groups
• Pseudondilpotent groups
• Conjugacy in Abelian-by-Cyclic Groups
• On the endomorphism problem for free groups
• On Locally Finite Groups with Min-2
• Finite and infinite cyclic extensions of free groups
• Some Sufficient Conditions for Groups to Have One End
• THE SKELETON OF A PRODUCT VARIETY OF GROUPS
• Some remarks on sylow theory in locally finite groups with min-_p
• Some Properties of Certain Relatively Free Groups
• Embeddings into groups with only a few defining relations
• An algebraic characterization of groups with soluble word problem
• DIVISIBLE 2-SUBGROUPS OF LOCALLY FINITE GROUPS
• Periodic automorphisms of free groups
• Complete automorphism groups
• Vanishing Homology over Nilpotent Groups
• Projective metabelian nonfree groups
• Ordering finite groups by involvement
• A class of modules over a locally finite group II
• On Nilpotent Products of Cyclic Groups—Reexamined by the Commutator Calculus
• Wreath Products and Existentially Complete Solvable Groups
• Residually Nilpotent Groups
• Groups with a Finite Number of Sylow Λ-Subgroups
• Completions of Groups
• The Automorphism Group of a Free Group is Complete
• Finitely Generated Soluble Groups in which all Subgroups have Finite Lower Central Depth
• The Cohomological Dimension of 1-Relator Groups
• The freeness of some projective metabelian groups
• Locally Finite Groups with Min-p for All p . I
• Locally Finite Groups with Min-p for All p . II
• Representations of metabelian groups satisfying the minimal condition for normal subgroups
• Automorphism Groups of Torsion-Free Nilpotent Groups of Class 2
• Die Elementare Theorie der Gruppe vom Typ p^∞ mit Untergruppen
• A Short Combinatorial Proof of the Vaught Conjecture
• On the Frattini Subgroup of a Residually Finite Generalized Free Product
• On Abelian-By-Polycyclic Groups
• Two-variable bases for the laws of var PSL(2, 2ⁿ) and related topics
• Supplements in Abelian-By-Nilpotent Groups
• The Intersection of the Subgroups of Finite Index in Some Finitely Presented Groups
• Covering space proofs in combinatorial group theory
• On the first end invariant of an exact sequence
• Cobordism for Poincaré duality groups
• A Property of Groups of Nonexponential Growth
• Automorphism sequences of free nilpotent groups of class two
• One-relator groups that are residually of prime power order
• The Fundamental Groupoid of a Graph of Groups
• Stability of Non-Model-Complete Theories; Products, Groups
• Critical Groups Having Central Monoliths of a Nilpotent by Abelian Product Variety of Groups
• Separating laws for free centre -by -metabelian nilpotent groups
• A New Treatment of Soluble Groups with Finiteness conditions on their Abelian Subgroups
• A note on the Todd-Coxeter coset enumeration algorithm
• A Geometric Interpretation of a Classical Group Cohomology Obstruction
• The conjugacy problem and cyclic amalgamations
• A note on subnormality
• Finite Quotients of the Automorphism Group of a Free Group
• Residual Solvability of an Equation in Nilpotent Groups
• Commutativity in One-Relator Groups^†
• On direct products of some Burnside groups
• Subgroups of Holomorphs of Groups
• On Nielsen's Presentation of the Automorphism Group of a Free Group
• The Grushko-Neumann Theorem
• A note on locally finite varieties
• Commutativity in Groups with Bipolar Structure
• Another Example of a Soluble Group that is not Conjugacy Separable
• A class of modules over a locally finite group III
• Lower Frattini Series in Finitely Generated Soluble Groups
• On the nontriviality of some group extensions given by generators and relations
• Centre-By-Abelian-By-Nilpotent Varieties of Groups
• Asymptotic Formulas Related to Free Products of Cyclic Groups
• On the Generation of One-Relator Groups
• Conjugate Powers in HNN Groups
• On Certain Locally Finite Groups with Abelian Sylow p -Subgroups
• On Length Functions and Nielsen Methods in Free Groups
• On the Hopficity and Related Properties of Small Cancellation Groups
• Abstract length functions in groups
• An Embedding Theorem for Periodic Groups
• Completeness of the Automorphism Groups of Metabelian Just-Infinite Groups
• On a Group Presentation Due to Fox
• A property of finitely generated residually finite groups
• Cohomology and the Behaviour at Infinity of Finitely Presented Groups
• Some Remarks on Separable Groups
• SPLITTING OVER THE LOCALLY NILPOTENT RESIDUAL FOR A CLASS OF LOCALLY FINITE GROUPS
• A Conjecture of Bachmuth and Mochizuki on Automorphisms of Soluble Groups
• Sylow Structure and Basis Normalizers in a Class of Locally Finite Groups
• The Isomorphism Problem for Two-Generator One-Relator Groups with Torsion is Solvable
• On Commutator Equalities and Stabilizers in Free Groups
• A Remark on Groups with Trivial Multiplicator
• Counterexamples to Two Problems on One-Relator Groups
• Varieties of Metabelian p -Groups
• On Periodic Generalized Nilpotent Groups
• Embeddings into Simple Groups
• The Conjugacy Problem and Subgroups of Finite Index
• 1-Cohomology and Splitting of Group Extensions
• Embedding Methods for Periodic Groups
• On group actions on groups and associated series
• Solubility in Locally Soluble CZ-Groups
• A Generalization of Lyndon's Theorem on the Cohomology of One-Relator Groups
• Residually finite hnn extensions
• Algebraically closed torsion-free nilpotent groups of class 2
• On G-spaces
• Some remarks on group actions on trees
• Complete Universal Locally Finite Groups
• Элементарные свойства алгебраически замкнутых групп
• Conjugacy in polycyclic groups
• Existentially complete torsion-free nilpotent groups
• Subgroups of Finitely Presented Solvable Linear Groups
• On groups of exponent four with generators of order two
• A Theorem of Mal'cev on Periodic Subgroups of Soluble Groups
• The third term of the lower central series of a free group as a subgroup of the second
• Finite Frattini Factors in Finitely Generated Soluble Groups
• Finite Frattini Factors in Finitely Generated Abelian-by-Polycyclic Groups
• On Free Products of Finite Abelian Groups
• On Group-Theoretic Decision Problems and Their Classification. (AM-68)
• The CREAM conjecture for the subvarieties of certain abelian-by-nilpotent varieties
• Homology in Varieties of Groups. IV
• Metabelian groups with the same finite quotients
• Idempotent words in nilpotent groups
• Subnomality in soluble minimax groups
• Some Finitely Based Varieties of Groups
• A class of modules over a locally finite group I
• Classes of Automorphisms of Free Groups of Infinite Rank
• Subgroups of Free Products with Amalgamated Subgroups: A Topological Approach
• The geometry of higman‐neumann‐neumann extensions
• Homomorphs and Formats in Polycyclic Groups
• The Nilpotent-By-Finite Projectors of Polycyclic Groups
• Some abelian-by-nilpotent varieties of p-groups
• The laws of some nilpotent groups of small rank
• Computational approaches to combinatorial group theory
• A Group of Exponent 4 with Derived Length at Least 4
• Subgroups of finitely presented metabelian groups
• On rth Roots in Eighth-Groups
• On Dye's condition in nilpotent groups of class 2
• Varieties and simple groups
• Presentations of the Trefoil Group
• A Computer Calculation of Homology in Varieties of Groups
• Equivalence of Elements Under Automorphisms of a Free Group
• Generating groups of certain soluble varieties
• An Improved Subgroup Theorem for HNN Groups with Some Applications
• On Free Products of Finitely Generated Abelian Groups
• On center by abelian by one‐relator groups
• An Embedding Theorem for Groups with a Free Subgroup of Finite Index
• On one relator groups and HNN extensions
• Groups of finite exponent
• Omitting quantifier-free types in generic structures
• Residual properties of free groups
• The Lower Central Factors of Some Relatively Free Groups
• A Proof of the Freiheitssatz and the Cohen-Lyndon Theorem for One-Relator Groups
• One-relater groups with center
• Bigenetic properties of finitely generated hyper- (Abelian-by-finite) groups
• Annihilators of relation modules
• An Inverse Function Theorem for Free Groups
• Some varieties of groups
• On the inverse limit of free nilpotent groups
• On a problem of Fox
• Homology in group theory
• Periodic existentially closed nilpotent groups
• A non-Abelian variety of groups has an undecidable elementary theory
• Number of models in \(L_{\infty,\omega_1}\) theories. II
• Conditions under which a lattice is isomorphic to the lattice of subgroups of a group
• The Schur multipliers of Sp\(_6(Z)\), Spin\(_8(Z)\), Spin\(_7(Z)\) and F\(_4(Z)\)
• On conjugacy in Greendlinger eight-groups
• A residual property of finitely generated abelian-by-nilpotent groups
• Example of a finitely presented group in the variety \({\mathfrak A}^5\) with the unsolvable word problem
• On Abelian subgroups in biprimitively finite groups
• The isomorphism problem for a class of one-relator groups
• Finite by nilpotent Frattini factors in finitely generated hyper-(Abelian by finite) groups
• Some splitting theorems for infinite supersoluble groups
• Integral group rings of polycyclic-by-finite groups
• Some algorithmic problems for solvable groups
• Gruppen mit vorgeschriebenem Wortproblem
• Homological criteria for finiteness
• Certain subgroups of certain one-relator groups
• Forcing, arithmetic, division rings
• On infinite centralizers of groups
• Approximation of metabelian groups
• On the genus of a nilpotent group with finite commutator subgroup.
• Euler characteristics of groups
• Polynilpotent groups with one defining relation
• On locally finite groups with the condition of primary minimality for subgroups
• A strengthened Freiheitssatz
• Automorphisms of locally nilpotent FC-groups
• On the conjugacy problem in a free product with commuting subgroups
• A non-free parafree group all of whose countable subgroups are free
• Groups whose finite quotients are supersoluble
• On the cohomology of soluble groups of finite rank
• Manifolds covered by Euclidean space
• Poincaré duality and groups of type (FP)
• Powers and conjugacy in small cancellation groups
• On equations in free groups
• Direct decompositions of finitely generated torsion-free nilpotent groups
• Finitely generated metabelian groups are not subnormality separable
• Regular groups in varieties of p-groups
• The conjugacy problem for free products of sixth-groups with cyclic amalgamation
• Graphical regular representations of free products of groups
• Algebraically closed groups
• Subgroups of groups with a single relation having normal subgroups satisfying an identity
• Groups with complemented normal subgroups
• On the normalizer condition and barely transitive permutation groups
• Normal subgroups in duality groups and in groups of cohomological dimension 2
• The second cohomology group of \(G\) with \(Z_2G\) coefficients
• Rings with \(\aleph_1\)-categorical theories
• Exactness properties of profinite completion functors
• Some finitely presented subgroups of the automorphism group of a free group
• A free product with a non-power amalgamated which is not residually free
• Bicartesian squares of nilpotent groups
• Annihilators of relation modules. II
• Cyclic amalgamations of residually finite groups
• Exact sequences associated with a graph of groups
• IA-automorphism of certain two-generator torsion-free groups
• On exact sequences in homology associated with a group extension
• Operations on elementary classes of groups
• Extended Fitting series in varieties of soluble groups
• Equations quadratiques dans le groupe libre
• The equation \(s^{-1}t^{-1}st=u^{_1}v^{-1}uv\) in a free product of groups
• The vanishing of certain homology and cohomology groups
• Infinitely generated subgroups of finitely presented groups. I
• Definability in algebraically closed groups
• Generators of the free product with amalgamation of two infinite cyclic groups
• Ultraproducts and elementary types of some groups related to infinite symmetric groups
• The word problem and power problem in 1-relator groups are primitive recursive
• On homotopy invariance of higher signatures
• A group with torsion-free 2-divisible homology and Cappell's result on the Novikov conjecture
• Zum Isomorphieproblem für Gruppen mit einer definierenden Relation
• On the isomorphism problem for one-relator groups
• A new bound for the genus of a nilpotent group
• The lawlessness of groups of finitary permutations
• Homology, Massey products and maps between groups
• The structure of the Abelian groups \(F_n/(F_n,F')\)
• A group with an infinite number of Nielsen inequivalent one-relator presentations
• Fitting subgroups and profinite completions of polycyclic groups
• On locally supersoluble groups
• Conjugate separability in polycyclic groups
• Existentially complete nilpotent groups
• Eine Bemerkung zu den Nielsen-Transformationen
• On groups of finite cohomological dimension and duality groups over a ring
• Fitting theory in a class of locally finite groups
• Some properties of Fox subgroups of free groups
• Some finitely generated, infinitely related metabelian groups with trivial multiplicator
• The solvability of the conjugacy problem for certain free products with amalgamation
• An example of solvable torsion-free groups which are lattice isomorphic but not isomorphic
• Theorems of the Prüfer-Kulikov type
• Finitely presented group whose center is not finitely generated
• \(\aleph_0\)-categorical stable groups
• Constructable solvable groups
• The multiplicator of a splitting extension
• The cohomology of groups acting on trees
• The isomorphism problem for solvable groups
• Nilpotency class of a free group of the product of certain varieties
• A ten-term exact sequence in the homology of a group extension
• Some theorems of Hall type
• Uncountable universal locally finite groups
• Baer-invariants, isologism, varietal laws and homology
• Euler characteristics and characters of discrete groups
• The residual nilpotency of the augmentation ideal and the residual nilpotency of some classes of groups
• Embedding some interlacings in groups of automorphisms of finitely generated solvable groups
• Universal group with twenty-one defining relations
• Free groups are residually alternating of even degree
• Some residual properties of certain nilpotent-by-abelian groups
• Solvable torsion-free groups
• Decidability of the conjugacy problem does not carry over to finite extensions of groups
• A note on permutable subgroups
• Whitehead groups may be not free, even assuming CH. I
• Definability in algebraically closed systems
• Existentially closed structures and Jensen's principle \(\diamond\)
• A nonsimplicity criterion for groups
• Some infinite groups with a prescribed system of complemented infinite abelian subgroups
• Sufficient conditions for the existence in a group of infinite locally finite subgroups
• On finitely generated subgroups of free groups
• Subgroups of direct products
• Free subgroups of finitely presented groups
• Jacobi identity for groups
• Totally categorical groups and rings
• Local finiteness of certain groups with minimum condition for Abelian subgroups
• Mayer-Vietoris sequences for HNN-groups and homological duality
• Splitting of group extensions
• Unsolvability of the endomorphic reducibility problem in free nilpotent groups and in free rings
• Model theory
• A property of Suzuki groups
• Polycyclic Frattini factors in certain finitely generated groups
• The symmetries of classes of elements in a free group of rank two
• Cohomology of split group extensions
• Conjugacy in free polynilpotent groups
• Converse of a theorem of Mal'cev on nilpotent groups
• Note sur un théorème de Lipschutz
• Algorithmic problems for metabelian groups
• Representations of the automorphism groups of free groups
• Free factor groups of one-relator groups
• Almost all free products of groups have the same positive theory
• Group rings of polycyclic groups
• On torsion in the differentials of the Lyndon-Hochschild-Serre spectral sequence
• The occurrence of finite groups in the automorphism group of nilpotent groups of class 2
• Residual nilpotence in polycyclic groups
• Cohomological characterization of amalgamated products of groups
• Infinite groups with specified properties of subgroups
• On the Heineken-Mohamed groups
• Groups with homological duality generalizing Poincaré duality
• Polynomial maps on groups. II
• On the product of finitely generated Abelian groups
• On classes of groups defined by systems of subgroups
• On periodic groups with an almost regular involution
• Nielsen equivalence of presentations of some solvable groups
• Über die Nielsensche Kürzungsmethode in freien Produkten mit Amalgam
• The lower central series of groups of a special class
• Soluble groups with the minimum condition for normal subgroups
• Generalizations of the classes of nilpotent and hypercentral groups
• On soluble min-by-max groups
• A subgroup characterisation of soluble min-by-max groups
• On exact sequences in the homology of groups and algebras
• Homological methods in group varieties
• Strong finiteness conditions in locally finite groups
• On the intersection of finitely generated subgroups of a free group
• The automorphism group of a polycyclic group
• A theorem on finitely generated hyperabelian groups
• On join varieties of groups
• Maximal subgroups and chief factors of certain generalized soluble groups
• The Hopf property of free products
• Generalised free products which are free products of locally extended residually finite groups
• Cohomological topics in group theory.
• On groups of exponent four
• Automorphism towers of polycyclic groups
• Small cancellation theory over free products with amalgamation
• Abelian factorizations of infinite groups
• Automorphism towers of extremal groups
• Saturated formations and Sylow structure in locally finite groups
• Embeddings into hopfian groups
• Torsion-free groups with factor-groups on their hypercenter which are periodic
• A class of three-Engel groups
• On a centrality property of finitely generated torsion free soluble groups
• Subgroups of finite index of Fuchsian groups
• Subgroups of infinite index in Fuchsian groups
• A general solution of binary homogeneous equations over free groups
• The number of non-isomorphic models of an unstable first-order theory
• Latticed isomorphisms of solvable groups
• Ends and amalgamated free products of groups
• Homology of a group extension
• Nondistributivity of the lattice of varieties of nilpotent groups
• Some isolated subsets of infinite solvable groups.
• Groups with normalizer conditions
• Amenable groups and varieties of groups
• On central group extensions and homology
• On relatively free groups which are similar to metabelian groups
• On the approximation of free groups
• On free products with amalgamation of two infinite cyclic groups
• Determination of locally finite groups with duals
• Cohomology of finitely presented groups
• Word problems and recursively enumerable degrees of unsolvability. An emendation
• Truth-table degrees and the Boone groups
• Note on independent equation problems in groups
• On 2-metabelian groups (addendum)
• On the homology theory of central group extensions. I: The commutator map and stem extensions
• Zur Frage nach dem Gitter der nilpotenten Varietäten von Gruppen der Klasse 4
• Über die cohomologische Dimension der auflösbaren Gruppen
• On a Theorem of Cohen and Lyndon About Free Bases for Normal Subgroups
• The soluble subgroups of a one-relator group with torsion
• Residually F p -Groups, for Many Primes p, are Orderable
• Subgroups with Almost-Complements
• The free centre-by-metabelian groups
• Sq-Universality in Hnn Groups and One Relator Groups
• Groups of dimension 1 are locally free
• One-Variable Equations in Free Groups
• Laws in Nilpotent-by-Finite Groups
• On Residual Nilpotence
• On the Residual Finiteness of Generalized Free Products
• Some varieties without the amalgam embedding property
• On certain abelian-by-nilpotent varieties
• A finite basis theorem for product varieties of groups
• Two-Generator Conditions for Polycyclic Groups
• Sylow Subgroups of Locally Finite Groups with Min-P
• On Embedding Groups and the Conjugacy Problem
• On Britton's Theorem A
• Root-Closure in Free Groups
• Critical Groups and the Lattice of Varieties
• Embeddings in Non-Hopf Groups
• Commutators of Certain Finitely Generated Soluble Groups
• Groups of Automorphisms of Soluble Groups
• Subgroups of amalgamated free products
• Note on the Homology of a Fiber Product of Groups
• Some symmetric varieties of groups
• On Greendlinger's lemma
• ABELIAN BY NILPOTENT VARIETIES
• Generating groups of nilpotent varieties
• Some product varieties of groups
• A residual property of free groups
• On Greendlinger groups
• Infinite groups whose proper quotient groups are finite, II
• On the laws of free nilpotent groups.
• A five lemma for free products of groups with amalgamations
• On soluble just-non-Cross varieties of groups
• On the laws of some varieties of groups
• On the Free Product of Two Groups with an Amalgamated Subgroup of Finite Index in each Factor
• On the Weak Homological Dimension of the Group Algebra of Solvable Groups
• On Metanilpotent Varieties of Groups
• Locally finite varieties of groups arising from Cross varieties
• Nilpotency and related properties of group extensions
• Finiteness Conditions in Generalized Soluble Groups
• On Groups of Exponent Four. II
• Torsion-Free Groups and Amalgamated Products
• A Free Resolution for a Class of Groups
• Groups with certain solvable and unsolvable decision problems
• On soluble groups of prime-power exponent
• Varieties of Metabelian _p-Groups of Class _b, _p+1
• On Locally Finite Groups with Min-P
• On R₀-Closed Classes, and Finitely Generated Groups
• Just non-finitely-based varieties of groups
• FINITE SPLITTING GROUPS IN VARIETIES OF GROUPS
• On Residually Finite Generalized Free Products
• Products of Abelian Subgroups
• Finitely generated cyclic extensions of free groups are residually finite
• Representations of Free Metabelian  π -Groups
• Uncountably many Varieties of Groups
• On varieties of soluble groups
• A Bound for the Derived Length of Certain Polycyclic Groups
• On the residual finiteness of permutational products of groups
• Conjugacy Separability of Certain Free Products with Amalgamation
• A finitely generated, infinitely related group with trivial multiplicator
• Embedding Theorems for Countable Groups
• Unsolvable Problems in Groups With Solvable Word Problem
• A problem of Hanna Neumann on closed sets of group words
• Varieties of soluble groups and a dichotomy of P. Hall
• On Central Series of a Soluble Group
• On the isomorphism problem for just‐infinite groups
• On decomposable varieties of groups
• On Finitely Generated Subgroups of Free Products
• A nonsolvable group of exponent 5
• On product varieties of groups
• ON s-CRITICAL GROUPS
• On non-cross varieties of groups
• F -Abnormal Subgroups of Certain Locally Finite Groups
• Sylow Subgroups of Locally Finite Groups
• Third Engel groups and the Macdonald-Neumann conjecture
• Automorphisms of Group Extensions
• The Subgroups of a Free Product of Two Groups with an Amalgamated Subgroup
• On Finitely Generated Subgroups Which are of Finite Index in Generalized Free Products
• The Power Problem for Groups with One Defining Relator
• Subgroups of Conjugate Classes in Extensions
• On Free Groups of the Variety AN₂ ∧ N₂A
• Varieties of soluble groups
• Directly Decomposable Finite Relatively Free Groups
• A Class of Locally Finite Groups^†
• The endomorphisms of certain one-relator groups and the generalized Hopfian problem
• A non-cyclic, locally free, free-by-cyclic group all of whose finite factor groups are cyclic
• Model-completions and modules
• An index of P. Hall for varieties of groups
• Dichotomies in Certain Finitely Generated Soluble Groups
• A Note on Root Decision Problems in Groups
• Residual Finiteness of Surface Groups
• Homology in varieties of groups. II
• On lattices of varieties of metabelian groups
• Subgroups of HNN Groups and Groups with one Defining Relation
• Representations of Some Relatively Free Groups in Power Series Rings
• The subnormal structure of metanilpotent groups
• The Hopficity of F/r′
• On $ω_1$-categorical theories of abelian groups
• Residual properties of free groups II
• On Centre-By-Metabelian Varieties of Groups
• On Locally Finite Varieties of Groups
• The skeleton of a variety of groups
• The subnormal structure of some classes of coluble groups
• Finitely Generated Subgroups of HNN Groups
• Normalizer Condition and Nilpotent Normal Subgroups
• On three-Engel groups
• On Groups of Exponent Four. III
• On conjugate powers in eighth-groups
• On the Freiheitssatz
• On One-Relator Groups Having Elements of Finite Order
• Conjugacy Separability of Certain Fuchsian Groups
• The computability of group constructions II
• A Note on Residual Properties of Nilpotent Groups
• On Products of Powers in Groups
• Nonresidually Finite One-Relator Groups
• Two Theorems in the Commutator Calculus
• On GL₂(R) Where R is a Boolean Ring
• The Free Product of Two Groups with a Malnormal Amalgamated Subgroup
• The elementary theory of abelian groups
• Ends of Groups and the Associated First Cohomology Groups
• A Note on F-Reducibility
• Bases for Polynilpotent Groups
• The Eliminant of a Group
• On the laws of the variety s_e
• On varieties of metabelian groups of prime-power exponent
• FREE DECOMPOSITIONS IN VARIETIES OF Λ-GROUPS
• Relation Modules
• A Product Variety of Groups with Distributive Lattice
• On the Frattini Subgroups of Generalized Free Products with Cyclic Amalgamations⁽¹⁾
• On the Frattini Subgroups of Certain Generalized Free Products of Groups
• A Conjugacy Theorem for Locally Finite Groups
• On finitely presented metabelian groups
• The Inflation Homomorphism
• Third-Engel 2-Groups are Soluble
• On the Finitely Generated Subgroups of an Amalgamated Product of Two Groups
• On Groups Satisfying Min-p
• On a Problem of Boone.
• On Outer-Commutator Words
• The Free Product of Residually Finite Groups Amalgamated Along Retracts is Residually Finite
• On non-Cross varieties of A-groups
• Normal Subgroups of Groups which are Products of Two Abelian Subgroups
• Normal subgroups of the modular group
• Finiteness conditions in soluble groups and Lie algebras
• Subgroups of free solvable groups
• A FREEDOM THEOREM FOR GROUPS WITH ONE DEFINING RELATION IN THE VARIETIES OF SOLVABLE AND NILPOTENT GROUPS OF GIVEN LENGTHS
• Soluble groups satisfying the minimal condition for normal subgroups
• Some Undecidable Problems in Group Theory
• Some model theory of abelian groups
• Some Results on Parafree Groups
• Groups of Automorphisms of Infinite Soluble Groups
• The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups
• A Finitely Generated Residually Finite Group with an Unsolvable Word Problem
• Sylowizers in Locally Finite Groups
• Free Subgroups of Small Cancellation Groups
• Factoring a group as an amalgamated free product
• Varieties and section closed classes of groups
• On torsion‐free nilpotent varieties
• Conjugacy Separating Representations of Free Groups
• Products of powers in groups
• Remarks on the localization of nilpotent groups
• Certain commutator subgroups of free groups
• A remark concerning commutator subgroups of free groups
• Martin's Axiom Applied to Existentially Closed Groups.
• A criterion for non‐solvability of exponent 4 groups
• The SQ-universality of some finitely presented groups
• A class of $\pi _c$ groups closed under cyclic amalgamations
• A Finitely Presented Metabelian Group with a Free Abelian Derived Group of Infinite Rank
• Letter to the editor
• Free products of Hopf groups
• Intersections of primary powers of a group
• Groups of cohomological dimension one
• Residual properties of free groups
• Automorphisms of solvable groups
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