arXiv Analytics

Sign in

arXiv:0902.0718 [math.AT]AbstractReferencesReviewsResources

On the classifying space of the family of finite and of virtually cyclic subgroups for CAT(0)-groups

Wolfgang Lueck

Published 2009-02-04Version 1

Let G be a discrete group which acts properly and isometrically on a complete CAT(0)-space X. Consider an integer d with d=1 or d greater or equal to 3 such that the topological dimension of X is bounded by d. We show the existence of a G-CW-model E_fin(G) for the classifying space for proper G-actions with dim(E_fin(G)) less or equal to d. Provided that the action is also cocompact, we prove the existence of a G-CW-model E_vcyc(G) for the classifying space of the family of virtually cyclic subgroups such that dim(E_vcyc(G)) is less or equal to d+1.

Comments: 14 pages
Categories: math.AT
Subjects: 55R35
Related articles: Most relevant | Search more
arXiv:math/0702646 [math.AT] (Published 2007-02-22, updated 2009-01-07)
On the classifying space of the family of virtually cyclic subgroups
arXiv:1611.02187 [math.AT] (Published 2016-11-07)
Classifying spaces for the family of virtually cyclic subgroups of braid groups
arXiv:math/0510374 [math.AT] (Published 2005-10-18, updated 2006-11-30)
Retractive transfers and p-local finite groups

Links

Toolbox