On the dimension of the virtually cyclic classifying space of a crystallographic group

Working paper

In this paper we construct a model for the classifying space, BVCG, of a crystallographic group G of rank n relative to the family VC of virtually-cyclic subgroups of G. The model is used to show that there exists no other model for the virtually-cyclic classifying space of G with dimension less than vcd(G)+1, where vcd(G) denotes the virtual cohomological dimension of G. In addition, the dimension of our construction realizes this limit.

Authors: Connolly, F; Fehrman, B; Hartglass, M

• Publication status: Not published
• Peer review status: Not peer reviewed
• Publication date: 2006-10-12
• Keywords: 55R35 (primary); 55R40 (secondary); math.AT