Hyperbolic groups and their quotients of bounded exponents

DOI10.1090/S0002-9947-96-01510-3zbMath0876.20023MaRDI QIDQ4889997

Alexander Yu. Ol'shanskii, Sergei V. Ivanov

Publication date: 23 November 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite subgroupssubgroups of finite indexfinitely presented groupsBurnside problemtorsion-free hyperbolic groupsword problemsconjugacy problemsrestricted Burnside problemgroups of even exponentsubgroups generated by \(n\)th powers

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Chains and lattices of subgroups, subnormal subgroups (20E15) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Cancellation theory of groups; application of van Kampen diagrams (20F06)

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A note on stable exponents, Periodic quotients of hyperbolic and large groups., On finite and locally finite subgroups of free Burnside groups of large even exponents, The order of the product of two elements in the periodic groups, Peripheral fillings of relatively hyperbolic groups., Acylindrically hyperbolic groups with exotic properties, The equivalence of some residual properties of word-hyperbolic groups, On the Bass-Lubotzky question about quotients of hyperbolic groups, Partial periodic quotients of groups acting on a hyperbolic space, On the geometry of burnside quotients of torsion free hyperbolic groups, Non-amenable finitely presented torsion-by-cyclic groups, On the Universal Theory of Torsion and Lacunary Hyperbolic Groups, Acylindrically hyperbolic groups, Groups that are the union of a finite number of double cosets., ELEMENTARY SUBGROUPS OF RELATIVELY HYPERBOLIC GROUPS AND BOUNDED GENERATION, Lacunary hyperbolic groups. With an appendix by Michael Kapovich and Bruce Kleiner., Uniform growth in hyperbolic groups, Questions in algebra and mathematical logic. Scientific heritage of S. I. Adian, Courbure mésoscopique et théorie de la toute petite simplification, Peripheral fillings of relatively hyperbolic groups, On aspherical presentations of groups, Asymptotic invariants, complexity of groups and related problems, THE WHITEHEAD ASPHERICITY CONJECTURE AND PERIODIC GROUPS, Representations of polygons of finite groups., Product set growth in Burnside groups

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