Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778575 | Advances in Mathematics | 2017 | 18 Pages |
Abstract
We construct groups G that are virtually torsion-free and have virtual cohomological dimension strictly less than the minimal dimension for any model for E_G, the classifying space for proper actions of G. They are the first examples that have these properties and also admit cocompact models for E_G. We exhibit groups G whose virtual cohomological dimension and Bredon cohomological dimension are two that do not admit any 2-dimensional contractible proper G-CW-complex.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Ian J. Leary, Nansen Petrosyan,