On the dimension of groups that satisfy certain conditions on their finite subgroups
Group Theory
2020-10-08 v2
Abstract
We prove that the Bredon cohomological dimension and the virtual cohomological dimension coincide for groups that admit a cocompact model for and satisfy properties (M) and (NM). Among the examples of groups satisfying these hypothesis are cocompact and arithmetic Fuchsian groups, one relator groups, the Hilbert modular group and -manifold groups.
Keywords
Cite
@article{arxiv.2001.09185,
title = {On the dimension of groups that satisfy certain conditions on their finite subgroups},
author = {Luis Jorge Sánchez Saldaña},
journal= {arXiv preprint arXiv:2001.09185},
year = {2020}
}
Comments
Version accepted for publication in Glasgow Mathematical Journal. The title was changed, also some other minor corrections