On the dimension of groups that satisfy certain conditions on their finite subgroups

2020/01/24 by Saldaña, Luis Jorge Sánchez
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2001.09185

Abstract

We prove that the Bredon cohomological dimension and the virtual cohomological dimension coincide for groups that admit a cocompact model for \underlineEG 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 3-manifold groups.

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