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