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}
}
  • Dieter Degrijse, Ralf Köhl, Nansen Petrosyan
  • Published 2015
  • Mathematics
  • Transformation Groups
  • 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.