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arXiv · 2001.09185

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

Luis Jorge Sánchez Saldaña
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Abstract

We prove that the Bredon cohomological dimension and the virtual cohomological dimension coincide for groups that admit a cocompact model for $\underline{E}G$ 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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Luis Jorge Sánchez Saldaña. 2020-01-24. On the dimension of groups that satisfy certain conditions on their finite subgroups. https://arxiv.org/abs/2001.09185

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