arXiv Analytics

Sign in

arXiv:1805.03893 [math.GR]AbstractReferencesReviewsResources

Subgroup growth of right-angled Artin and Coxeter groups

Hyungryul Baik, Bram Petri, Jean Raimbault

Published 2018-05-10Version 1

We determine the factorial growth rate of the number of finite index subgroups of right-angled Artin groups as a function of the index. This turns out to depend solely on the independence number of the defining graph. We also make a conjecture for right-angled Coxeter groups and prove that it holds in a limited setting.

Comments: 34 pages
Categories: math.GR, math.GT
Subjects: 20F55, 20F36, 57M50, 20B99
Related articles: Most relevant | Search more
arXiv:0811.1946 [math.GR] (Published 2008-11-12, updated 2009-01-22)
On right-angled Artin groups without surface subgroups
arXiv:math/0701493 [math.GR] (Published 2007-01-17, updated 2007-01-19)
Representations of Surface Groups and Right-Angled Artin Groups in Higher Rank
arXiv:1802.04870 [math.GR] (Published 2018-02-13)
Algorithmic problems in right-angled Artin groups: complexity and applications

Links

Toolbox