Classifying spaces with virtually cyclic stabilizers for linear groups
Abstract
We show that every discrete subgroup of $\mathrm{GL}(n,\mathbb{R})$ admits a finite dimensional classifying space with virtually cyclic stabilizers. Applying our methods to $\mathrm{SL}(3,\mathbb{Z})$, we obtain a four dimensional classifying space with virtually cyclic stabilizers and a decomposition of the algebraic $K$theory of its group ring.
 Publication:

arXiv eprints
 Pub Date:
 February 2014
 arXiv:
 arXiv:1402.4749
 Bibcode:
 2014arXiv1402.4749D
 Keywords:

 Mathematics  Group Theory;
 Mathematics  Algebraic Topology;
 Mathematics  KTheory and Homology
 EPrint:
 12 pages