# CLASSIFYING SPACES WITH VIRTUALLY CYCLIC STABILIZERS FOR LINEAR GROUPS

@article{Degrijse2015CLASSIFYINGSW, title={CLASSIFYING SPACES WITH VIRTUALLY CYCLIC STABILIZERS FOR LINEAR GROUPS}, author={Dieter Degrijse and Ralf K{\"o}hl and Nansen Petrosyan}, journal={Transformation Groups}, year={2015}, volume={20}, pages={381-394} }

We show that every discrete subgroup of GL(n, ℝ) admits a finite-dimensional classifying space with virtually cyclic stabilizers. Applying our methods to SL(3, ℤ), we obtain a four-dimensional classifying space with virtually cyclic stabilizers and a decomposition of the algebraic K-theory of its group ring.

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