English

Algebraic Ranks of CAT(0) Groups

Metric Geometry 2014-10-01 v2

Abstract

We study the algebraic rank of various classes of CAT(0)\mathrm{CAT}(0) groups. They include right-angled Coxeter groups, right-angled Artin groups, relatively hyperbolic groups and groups acting geometrically on CAT(0)\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

Keywords

Cite

@article{arxiv.1210.1635,
  title  = {Algebraic Ranks of CAT(0) Groups},
  author = {Raeyong Kim},
  journal= {arXiv preprint arXiv:1210.1635},
  year   = {2014}
}

Comments

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

R2 v1 2026-06-21T22:16:42.748Z