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

preprint2015arXivOpen access

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

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

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

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