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

2011/04/04 by Martin Fluch, Fluch, Martin, Brita E. A. Nucinkis +1
Mathematics · #20J05 #55R35 #Advanced Operator Algebra Research #Advanced Topology and Set Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #math.AT #math.GR #msc:20J05 #msc:55R35

paper · pdf · doi:10.48550/arxiv.1104.0588

15 pages; revised version

openalex publication_date 2011/04/04 · arxiv created 2012/01/19 · arxiv updated 2012/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that elementary amenable groups, which have a bound on the orders of their finite subgroups, admit a finite dimensional model for the classifying space with virtually cyclic isotropy.

Related

• On the finiteness of the classifying space for the family of virtually cyclic subgroups
• Commensurators and classifying spaces with virtually cyclic stabilizers
• Geometric dimension of groups for the family of virtually cyclic subgroups
• On the classifying space of the family of virtually cyclic subgroups
• Classifying Spaces with Virtually Cyclic Stabilisers for Certain Infinite Cyclic Extensions