scientific article; zbMATH DE number 3224578

A. Karrass, D. Solitar, Wilhelm Magnus

Publication date: 1966

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

generators and relations Combinatorial group theory

Generators, relations, and presentations of groups (20F05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory (20-01) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

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III: Periodic braids., Bases, filtrations and module decompositions of free Lie algebras, Two-letter group codes that preserve aperiodicity of inverse finite automata., Wreath products of Lie algebras, Some subgroups of free soluble groups, Conjugacy separability of Seifert 3-manifold groups over non-orientable surfaces., On injective homomorphisms for pure braid groups, and associated Lie algebras., Unrecognizability of manifolds, Goussarov--Habiro theory for string links and the Milnor-Johnson correspondence, On balanced presentations of the trivial group., The congruence subgroup problem for the free metabelian group on $n\geq 4$ generators, The Zassenhaus filtration, Massey products, and representations of profinite groups, On normal subgroups in the periodic products of S. I. Adyan., The rotation number integer quantization effect in braid groups, Automorphisms of odd Coxeter groups, Geometric aspects of a deformation of the standard addition on integer lattices, Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps, On some varieties of soluble groups. II, Universal theories and centralizer dimensions of groups, Bounded action machines: toward an abstract theory of computer structure, On the theory of polynompermutations over finite groups., Explicit solution of the continuous Baker-Cambell-Hausdorff problem and a new expression for the phase operator, Free planes. III, On some groups with a single defining realtor, Primitive elements and automorphisms of the free metabelian group of rank 3, On the failure of the Howson property for a group with a single defining relation, On finitely generated subgroups of a free product, Über die Nielsensche Kürzungsmethode in freien Produkten mit Amalgam, The lower central series of groups of a special class, The structure theory of nilspaces. III: Inverse limit representations and topological dynamics, The collineation group of the free plane ${\mathfrak F}_ 4$, Detecting properties from descriptions of groups, On exponential approximations for the evolution operator, Equivalence of Alexander matrices, Residual finiteness and the Hopf property in rings, Groups related to compact Riemann surfaces, Sur une question d'Olga Taussky, Small cancellation theory over free products with amalgamation, On the history of Lie brackets, crossed modules, and Lie-Rinehart algebras, Completion of free groups by means of infinite product representations, Embeddings into hopfian groups, The Bergman kernel function. Differentiability at the boundary, Generalizations of the Bellavitis partition identities, Intersection of finitely generated subgroups, Two generator discrete free products, Deux applications de la représentation matricielle d'une série rationnelle non commutative. 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I: The realm of Kleene's theorem, Complexity, combinatorial group theory and the language of palutators, On some properties of the groups G(n,l), Varieties generated by free completely simple semigroups, Existence theorems in mathematics, On the algebra of handle operations in 4-manifolds, A note on regular classes in special Thue systems, Ordering coproducts of groups and semigroups, Unsolvable algorithmic problems for semigroups, groups and rings, Automorphisms of relatively free nilpotent groups of infinite rank, Freely decomposable automorphism groups, On the homology of the higher relation modules, Linking numbers and Chen groups, The generating function of the number of subpatterns of a DOL sequence, On the higher relation modules of a finite group, A cyclic derivative in noncommutative algebra, Matrix representation for the braid group $B_4$, Minimal words in the free group of rank two, Primitives in the free group on two generators, On one-relator groups which satisfy Poincaré duality, What does a basis of F(a,b) look like?, Quadratic equations over small cancellation groups, Note on primitive words, Über Erweiterungen von Z und $Z_ 2*Z_ 2$ durch nichteuklidische kristallographische Gruppen, The residual finiteness of some one-relator groups with torsion, Einheiten in Z(D//2m), On the linearity of automorphism groups of free groups, Infinite groups, Artin braids and the groups and spaces connected with them, End invariants of amalgamated free products, On the dimension subgroups of metabelian groups, On a special monoid with a single defining relation, A theorem on symmetry of primitives, Combinatorial group theory for pro-p groups, Automorphisms of the complement of the bifurcation set of functions for simple singularities, p-adic and p-cotorsion completions of nilpotent groups, Residually finite one-relator groups with torsion, When are two elements of $GL(2,\mathbb{Z}{})$ similar?, The algorithmic theory of polycyclic-by-finite groups, Almost-free groups in varieties, Automatic groups and amalgams, A simple presentation of the Siegel modular groups, Embeddability into the plane and movability on inverse limits of graphs whose shift maps are expansive, Generalized Padé approximants - application to split operator alternating direction implicit finite difference and finite element techniques, Automorphisms of groups, The extension of Johnson's homomorphism from the Torelli group to the mapping class group, The isomorphism problem for a class of one-relator groups, Euler characteristics of discrete groups and G-spaces, Mayer - Vietoris Sequenzen und Lefschetzsätze für mehrfache Hyperflächenschnitte in der Homotopie, Certain subgroups of certain one-relator groups, Euler characteristics of groups, On monoids presented by a single relation, Transductions des langages de Chomsky, Factor groups of the lower central series for spherical free products, Roots and centralizers of peripheral elements in knot groups, The conjugacy problem for free products of sixth-groups with cyclic amalgamation, $K_2$ of discrete valuation rings, Locally compact group topologies on an algebraic free product of groups, On decompositions of discontinuous groups of the plane, Some finitely presented subgroups of the automorphism group of a free group, Projectivity and relative projectivity over group rings, IA-automorphism of certain two-generator torsion-free groups, Equations quadratiques dans le groupe libre, Infinitely generated subgroups of finitely presented groups. I, Generators of the free product with amalgamation of two infinite cyclic groups, On the isomorphism problem for one-relator groups, Characters of $F_2$ represented in $Sp(4,R)$, Homology, Massey products and maps between groups, The structure of the Abelian groups $F_n/(F_n,F')$, Combinatorial isomorphisms and combinatorial homotopy equivalences, Sur le groupe fondamental de l'espace des nœuds, The solvability of the conjugacy problem for certain free products with amalgamation, Amalgamations of pro-p-groups with one defining relator, A semigroup of simple homotopy types, Torsion in $\mathrm{PSL}(2,I_2)$, Generalized Magnus embeddings and some applications, A matrix representation for automorphisms of compact Riemann surfaces, Actions of the homeotopy group of an orientable 3-dimensional handlebody, On quadratic forms of 3-manifolds, Operator algebras associated with free products of groups with amalgamation, Intersections of finitely generated subgroups of free groups and resolutions of graphs, Laminated decompositions involving a given submanifold, The free groups in the dihedral variety, On roots of $a^ kb^{\ell}$, Lifting nilpotent automorphisms and the (3.5)-theorem, Model-theoretic and algorithmic questions in group theory, Série de Poincaré-Koszul associée aux groupes de tresses pures, The lower central series of a fiber-type arrangement, Systems of equations over locally $p$-indicable groups, On Galois representations arising from towers of coverings of $\mathbb P^1\backslash \{0,1,\infty \}$, Nonexistence of Invariant Measures, Knots with Infinitely Many Minimal Spanning Surfaces, The Two-Generator Subgroups of One-Relator Groups with Torsion, Infinitesimal Morita homomorphisms and the tree-level of the LMO invariant, Some One-Relator Hopfian Groups, Isomorphisms and Automorphisms of Universal Heffalump Lie Algebras, Classifying Torsion-Free Subgroups of the Picard Group, Linear groups with Borel's property, Free Lie Algebras as Modules Over Their Enveloping Algebras, On a subclass of context-free groups, Unrestricted virtual braids, fused links and other quotients of virtual braid groups, On the parallel complexity of linear groups, A Characterization of Periodic Automorphisms of a Free Group, The true prosoluble completion of a group: examples and open problems., Companionship of Knots and the Smith Conjecture, Characteristic and IA-invariant radicals, Algorithmic aspects of branched coverings. II/V: Sphere bisets and decidability of Thurston equivalence, Cyclic Extensions of Parafree Groups, Right exact group completion as a transfinite invariant of homology equivalence, Systolic length of triangular modular curves, Amalgamations and the Kervaire problem, Combinatorial Equivalence between Group Presentations, A property of subgroups of free groups, Unnamed Item, The solvability of the conjugacy problem for certain HNN groups, On the Two-Realizability of Chain Complexes, On the word problem for free products of semigroups and monoids, A homotopy+ solution to the A-B slice problem, On Constructive Nilpotent Groups, ENGEL RELATIONS IN 4-MANIFOLD TOPOLOGY, On a Class of Factorizable Inverse Monoids Associated with Braid Groups, Automorphisms of a free group of infinite rank, Complete automorphism groups, On secret sharing protocols, The product replacement algorithm and Kazhdan’s property (T), On Turner’s theorem and first-order theory, Classification of homotopy torus knot spaces, The abelianization of almost free groups, Unnamed Item, Galois cohomology of completed link groups, Embeddings into Simple Free Products, The group algebra of a torsion-free one-relator group can be embedded in a field, Finding k Partially Disjoint Paths in a Directed Planar Graph, The Determination of the Lie Algebra Associated to the Lower Central Series of a Group, Orbit decidability and the conjugacy problem for some extensions of groups, The conjugacy problem and cyclic amalgamations, Discreteness criteria and the hyperbolic geometry of palindromes, The Kazhdan Property of the Mapping Class Group of Closed Surfaces and the First Cohomology Group of Its Cofinite Subgroups, Presentations of finite simple groups: A quantitative approach, Pseudocharacters of braid groups and prime links, Representing Subgroups of Finitely Presented Groups by Quotient Subgroups, Unknotted Solid Tori and Genus One Whitehead Manifolds, Combinatorial description of the homotopy groups of wedge of spheres, Word maps and spectra of random graph lifts, Symmetric Words in Dihedral Groups, A Short Proof of a Theorem of Adjan, Crossed Products and Inner Actions of Hopf Algebras, The Classification of Links up to Link-Homotopy, On Conjugacy Separability of Fundamental Groups of Graphs of Groups, Manifolds With no Periodic Homeomorphisms, Residual finiteness of cyclic extensions of certain free products, Using Subnormality to Show the Simple Connectivity at Infinity of a Finitely Presented Group, Poisson geometry of 𝑆𝐿(3,ℂ)-character varieties relative to a surface with boundary, Unique Subwords in Nonperiodic Words, THE EFFECT OF MUTATION ON LINK CONCORDANCE, 3-MANIFOLDS, AND THE MILNOR INVARIANTS, Primitive Elements and One Relation Algebras, On Recognising Certain One Relation Presentations, Homeomorphisms of a Certain Cube With Holes, Decomposable Braids as Subgroups of Braid Groups, A Ribbon Knot Group which has no Free Base, The Occurrence Problem for Mapping Class Groups, Induced Automorphisms on Fricke Characters of Free Groups, Kompakt definierbare topologische Gruppen. (Compactly definable topological groups), Real two-dimensional representations of two generator free groups, Conjugacy of subgroups of a free group, Equations in groups, On free products with amalgamation of two infinite cyclic groups, Two generator Fuchsian groups of genus one, Homomorphisms of free planes, Automorphismen und Erzeugende für Gruppen mit einer definierenden Relation, On the intersection of augmentation ideals, The conjugacy problem for a free product with amalgamation, Die Signatur von Flächenbündeln, Cartesian closed classes of perfect groups, Eine rekursiv präsentierte Gruppe mit unentscheidbarem Wortproblem, Residual properties of free groups. III., Eine Bemerkung zu den Triangel-Gruppen, Finitely presented groups: The deficiency, The isomorphism problem for one-relator groups with non-trivial centre, Unnamed Item, Non-hopfian groups with fully invariant kernels. II, The Subgroups of a Tree Product of Groups, On the Derived Series of 3- and 4-Generator Coxeter Groups, Practically Perfect Three-Manifold Groups, On non-Abelian homomorphic public-key cryptosystems, Primitive Elements in Free Groups, On the Generation of One-Relator Groups, Conjugate Powers in HNN Groups, On Dynamical Systems of Large Girth or Cycle Indicator and Their Applications to Multivariate Cryptography, The Isomorphism Problem for Two-Generator One-Relator Groups with Torsion is Solvable, Structure and automorphisms of pure virtual twin groups, MULTIPLICATION TABLES AND WORD-HYPERBOLICITY IN FREE PRODUCTS OF SEMIGROUPS, MONOIDS AND GROUPS, Group and Lie algebra filtrations and homotopy groups of spheres, On the word problem for weakly compressible monoids, Automorphisms of simple quotients of the Poisson and universal enveloping algebras of sl2, Residual torsion-free nilpotence, biorderability and pretzel knots, Homotopy patterns in group theory, Curvature distribution, relative presentations and hyperbolicity with an application to Fibonacci groups, Embeddings of automorphism groups of free groups into automorphism groups of affine algebraic varieties, Knotted toroidal sets, attractors and incompressible surfaces, Influence of the commutator properties of Hamiltonians on the robustness of quantum circuits, A database of group actions on Riemann surfaces, A new exact sequence for 𝐾₂ and some consequences for rings of integers, A homotopy classification of 2-complexes with finite cyclic fundamental group, On i-Adic Iterated integrals, I analog of zagier conjecture, Fox subgroups of free groups, Fox subgroups of free groups, On open 3-manifolds proper homotopy equivalent to geometrically simply-connected polyhedra, On the height of 2-component links, Frobenius-Schur indicators, the Klein-bottle amplitude, and the principle of orbifold covariance, On the Andreadakis conjecture restricted to the “lower-triangular” automorphism groups of free groups, Free group automorphisms, invariant orderings and topological applications, Non-Hopfian Groups with Fully Invariant Kernels. I, Groups with one more generator than relators, On one-relator monoids and one-relator groups, Some Undecidable Problems in Group Theory, The faithfulness of the monodromy representations associated with certain families of algebraic curves, Conjugacy Separating Representations of Free Groups, Higher dimensional extensions of substitutions and their dual maps, Free Products of Von Neumann Algebras, Maps between surfaces and minimal coincidence sets for homotopies, Residual finiteness of outer automorphism groups of certain pinched 1-relator groups, Graph theory, The universal finite-type invariant for braids, with integer coefficients, Borel equivalence relations and classifications of countable models, Properties of certain semigroups and their potential as platforms for cryptosystems, Free products of Hopf groups, On the height of 2-component links, On automorphisms of relatively free groups, On a conjecture of Papakyriakopoulos, On a conjecture of Papakyriakopoulos, Unnamed Item, On one-relator groups and units of special one-relation inverse monoids