Central Extensions of Word Hyperbolic Groups
群论
2008-02-03 v1
摘要
Thurston has claimed (unpublished) that central extensions of word hyperbolic groups by finitely generated abelian groups are automatic.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.
引用
@article{arxiv.math/9507201,
title = {Central Extensions of Word Hyperbolic Groups},
author = {Walter Neumann and Lawrence Reeves},
journal= {arXiv preprint arXiv:math/9507201},
year = {2008}
}
备注
Plain Tex, 9 pages, no figures