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

Charles Cunningham, Andy Eisenberg, Adam Piggott +1

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…