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

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.

11 pages, 1 figure

References in corpus (2)

• Quasiflats in CAT(0) complexes
• The automorphism group of the free group of rank two is a CAT(0) group