Classifying spaces for proper actions of locally-finite groups

Abstract

For each finite ordinal n, and each locally-finite group G of cardinality aleph-sub-n, we construct an (n+1)-dimensional, contractible CW-complex on which G acts with finite stabilizers. We use the complex to obtain information about cohomology with induced coefficients. Our techniques also give information about the location of some large free abelian groups in the hierarchy HF.

AMSTeX.amsppt, 25 pages, no figures

Cited by in corpus (6)

• On the classifying space of the family of virtually cyclic subgroups
• Groups possessing extensive hierarchical decompositions
• Geometric dimension of groups for the family of virtually cyclic subgroups
• Commensurators and classifying spaces with virtually cyclic stabilizers
• Nullification functors and the homotopy type of the classifying space for proper bundles
• On the classifying space for the family of virtually cyclic subgroups for elementary amenable groups