Abstract
We study the algebraic rank of various classes of groups. They include right-angled Coxeter groups, right-angled Artin groups, relatively hyperbolic groups and groups acting geometrically on spaces with isolated flats. As one of our corollaries, we obtain a new proof of a result on commensurability of Coxeter groups.
Citation
Raeyong Kim. "Algebraic ranks of $\mathrm{CAT}(0)$ groups." Algebr. Geom. Topol. 14 (3) 1627 - 1648, 2014. https://doi.org/10.2140/agt.2014.14.1627
Information