Subgroup growth of right-angled Artin and Coxeter groups

被引：4

作者：

Baik, Hyungryul ^{[1
]}

Petri, Bram ^{[2
]}

Raimbault, Jean ^{[3
]}

机构：

[1] Korea Adv Inst Sci & Technol, Dept Math Sci, 291 Daehak Ro, Daejeon 34141, South Korea

[2] Univ Bonn, Math Inst, Endenicher Allee 60, Bonn, Germany

[3] Univ Toulouse, Inst Math Toulouse, UMR5219, CNRS,UPS IMT, F-31062 Toulouse 9, France

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2020年 / 101卷 / 02期

关键词：

20E07; 20F55 (primary); 22E40 (secondary); INDEPENDENT SETS; NUMBER;

D O I：

10.1112/jlms.12277

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：556 / 588

页数：33

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