Algebraic Ranks of CAT(0) Groups

Abstract

We study the algebraic rank of various classes of $\mathrm{CAT}(0)$ groups. They include right-angled Coxeter groups, right-angled Artin groups, relatively hyperbolic groups and groups acting geometrically on $\mathrm{CAT}(0)$ spaces with isolated flats. As one of our corollaries, we obtain a new proof of a result on commensurability of Coxeter groups

19 pages, 1 figure. arXiv admin note: text overlap with arXiv:math/0504191 by other authors

References in corpus (1)

• Hadamard spaces with isolated flats