Central extensions of word hyperbolic groups

DOI10.2307/2951827zbMath0871.20032arXivmath/9507201OpenAlexW1991826053MaRDI QIDQ676111

Walter D. Neumann, Lawrence Reeves

Publication date: 4 August 1997

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9507201

zbMATH Keywords

word hyperbolic groupsfinitely generated groupscentral extensionsquasi-isometriesbiautomatic groupsbounded cocyclesweakly bounded cohomology classes

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Topological methods in group theory (57M07) Extensions, wreath products, and other compositions of groups (20E22)

Related Items

On quasihomomorphisms with noncommutative targets., Central extensions of word hyperbolic groups satisfy a quadratic isoperimetric inequality, No quasi-isometric rigidity for proper actions on CAT(0) cube complexes, Commensurators of abelian subgroups of biautomatic groups, Central extensions and bounded cohomology, Weak commutativity, virtually nilpotent groups, and Dehn functions, Coronas for properly combable spaces, Complex hyperbolic hyperplane complements, Hilbert space compression under direct limits and certain group extensions, Equation problem over central extensions of hyperbolic groups, On the Hochschild homology of \(\ell^1\)-rapid decay group algebras, Lacunary hyperbolic groups. With an appendix by Michael Kapovich and Bruce Kleiner., On the algorithmic construction of classifying spaces and the isomorphism problem for biautomatic groups.