Commensurators and classifying spaces with virtually cyclic stabilizers
Dieter Degrijse
University of Copenhagen, DenmarkNansen Petrosyan
University of Southampton, UK
![Commensurators and classifying spaces with virtually cyclic stabilizers cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-ggd-volume-7-issue-3.png&w=3840&q=90)
Abstract
By examining commensurators of virtually cyclic groups, we show that for each natural number , any locally finite-by-virtually cyclic group of cardinality admits a finite dimensional classifying space with virtually cyclic stabilizers of dimension . As a corollary, we prove that every elementary amenable group of finite Hirsch length and cardinality admits a finite dimensional classifying space with virtually cyclic stabilizers.
Cite this article
Dieter Degrijse, Nansen Petrosyan, Commensurators and classifying spaces with virtually cyclic stabilizers. Groups Geom. Dyn. 7 (2013), no. 3, pp. 543–555
DOI 10.4171/GGD/196