Periodic quotients of hyperbolic and large groups.

DOI10.4171/GGD/65zbMath1234.20051arXiv0804.3328MaRDI QIDQ838399

Dmitriy Sonkin, Ashot Minasyan, Alexander Yu. Ol'shanskii

Publication date: 25 August 2009

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.3328

zbMATH Keywords

hyperbolic groupslarge groupsperiodic quotient groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Hyperbolic groups and nonpositively curved groups (20F67) Residual properties and generalizations; residually finite groups (20E26)

Cites Work

• On Burnside's problem on periodic groups
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• The equivalence of some residual properties of word-hyperbolic groups
• Adding high powered relations to large groups.
• DEGREES OF GROWTH OF FINITELY GENERATED GROUPS, AND THE THEORY OF INVARIANT MEANS
• ON THE GROWTH DEGREES OF $ p$-GROUPS AND TORSION-FREE GROUPS
• Groups with two More Generators Than Relators
• THE FREE BURNSIDE GROUPS OF SUFFICIENTLY LARGE EXPONENTS
• Infinite Burnside groups of even exponent
• SOME PROPERTIES OF SUBSETS OF HYPERBOLIC GROUPS
• Hyperbolic groups and their quotients of bounded exponents
• A non-quasiconvexity embedding theorem for hyperbolic groups
• On nil-algebras and finitely approximable 𝑝-groups
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