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arXiv · 1810.08924

Bredon cohomological dimension for virtually abelian stabilisers for CAT(0) groups

Tomasz Prytuła
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Abstract

Given a discrete group $G$, for any integer $r\geqslant0$ we consider the family of all virtually abelian subgroups of $G$ of rank at most $r$. We give an upper bound for the Bredon cohomological dimension of $G$ for this family for a certain class of groups acting on $\mathrm{CAT}(0)$ spaces. This covers the case of Coxeter groups, Right-angled Artin groups, fundamental groups of special cube complexes and graph products of finite groups. Our construction partially answers a question of J.-F. Lafont.

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BibTeXRIS

Tomasz Prytuła. 2018-10-21. Bredon cohomological dimension for virtually abelian stabilisers for CAT(0) groups. https://arxiv.org/abs/1810.08924

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