On the classifying space for the family of virtually cyclic subgroups for elementary amenable groups

Fluch, Martin; Nucinkis, Brita

doi:10.1090/S0002-9939-2013-11679-5

On the classifying space for the family of virtually cyclic subgroups for elementary amenable groups
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by Martin G. Fluch and Brita E. A. Nucinkis PDF

Proc. Amer. Math. Soc. 141 (2013), 3755-3769 Request permission

Abstract:

We show that every elementary amenable group that has a bound on the orders of its finite subgroups admits a finite dimensional model for ${\underline {\underline E}}G$, the classifying space for actions with virtually cyclic isotropy.

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