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

DOI10.1017/S0017089520000531arXiv2001.09185MaRDI QIDQ6333457

Luis Jorge Sánchez Saldaña

Publication date: 24 January 2020

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.

Mathematics Subject Classification ID

Topological methods in group theory (57M07) Homological methods in group theory (20J05)

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