Wolfgang Lueck, Michael Weiermann
Published 2007-02-22, updated 2009-01-07Version 2
We study the minimal dimension of the classifying space of the family of virtually cyclic subgroups of a discrete group. We give a complete answer for instance if the group is virtually poly-Z, word-hyperbolic or countable locally virtually cyclic. We give examples of groups for which the difference of the minimal dimensions of the classifying spaces of virtually cyclic and of finite subgroups is -1, 0 and 1, and show in many cases that no other values can occur.
Comments: Final version, to appear in the Proceedings in honour of Farrel and Jones in Pure and Applied Mathematic Quarterly. 45 pages
On the classifying space of the family of finite and of virtually cyclic subgroups for CAT(0)-groups
Classifying spaces for the family of virtually cyclic subgroups of braid groups
Models for classifying spaces for $\mathbb{Z}\rtimes \mathbb{Z}$
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