Central Extensions of Word Hyperbolic Groups

Details Central Extensions of Word Hyperbolic Groups Central Extensions of Word Hyperbolic Groups

1995-07-13

arxiv.org/abs/math/9507201v1

Mathematics

Group Theory

Plain Tex, 9 pages, no figures

Scientific paper

Thurston has claimed (unpublished) that central extensions of word hyperbolic groups by finitely generated abelian groups are automatic.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.

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