Central Extensions of Word Hyperbolic Groups

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Thurston has claimed (unpublished) that central extensions of word hyperbolic groups by finitely generated abelian groups are automatic. We show that they are in fact biautomatic. Further, we show that every 2-dimensional cohomology class on a word hyperbolic group can be represented by a bounded 2-cocycle. This lends weight to the claim of Gromov that for a word hyperbolic group, the cohomology in every dimension is bounded.
Plain Tex, 9 pages, no figures

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Group Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/152990

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9507201
 http://arxiv.org/abs/math/9507201

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arXiv