On The Dimension of The Virtually Cyclic Classifying Space of a Crystallographic Group
Algebraic Topology
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0610387,
title = {On The Dimension of The Virtually Cyclic Classifying Space of a Crystallographic Group},
author = {Frank Connolly and Benjamin Fehrman and Michael Hartglass},
journal= {arXiv preprint arXiv:math/0610387},
year = {2007}
}
Comments
10 pages