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arXiv · 1508.05403

$\mathrm{CAT}(0)$ Extensions of Right-angled Coxeter Groups

Charles Cunningham·Andy Eisenberg·Adam Piggott·Kim Ruane
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Abstract

We show that any split extension of a right-angled Coxeter group $W_{\Gamma}$ by a generating automorphism of finite order acts faithfully and geometrically on a $\mathrm{CAT}(0)$ metric space.

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Charles Cunningham, Andy Eisenberg, Adam Piggott, Kim Ruane. 2015-08-21. $\mathrm{CAT}(0)$ Extensions of Right-angled Coxeter Groups. https://arxiv.org/abs/1508.05403

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