2007•arXiv (Cornell University)Open access
On the classifying space of the family of virtually cyclic subgroups
Wolfgang Lueck, Michael Weiermann
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Abstract
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.
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