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

共 50 条

[1] Right-angled Artin subgroups of right-angled Coxeter and Artin groups
Dani, Pallavi
Levcovitz, Ivan
ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2024, 24 (02): : 755 - 802
[2] Right-angled Artin groups are commensurable with right-angled Coxeter groups
Davis, MW
Januszkiewicz, T
JOURNAL OF PURE AND APPLIED ALGEBRA, 2000, 153 (03) : 229 - 235
[3] Aut-Invariant Word Norm on Right-Angled Artin and Right-Angled Coxeter Groups
Marcinkowski, Michal
MICHIGAN MATHEMATICAL JOURNAL, 2020, 69 (02) : 285 - 295
[4] Stable commutator length in right-angled Artin and Coxeter groups
Chen, Lvzhou
Heuer, Nicolaus
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2023, 107 (01): : 1 - 60
[5] The strong Atiyah conjecture for right-angled Artin and Coxeter groups
Peter Linnell
Boris Okun
Thomas Schick
Geometriae Dedicata, 2012, 158 : 261 - 266
[6] The strong Atiyah conjecture for right-angled Artin and Coxeter groups
Linnell, Peter
Okun, Boris
Schick, Thomas
GEOMETRIAE DEDICATA, 2012, 158 (01) : 261 - 266
[7] Subgroup Growth of Virtually Cyclic Right-Angled Coxeter Groups and Their Free Products
Baik, Hyungryul
Petri, Bram
Raimbault, Jean
COMBINATORICA, 2019, 39 (04) : 779 - 811
[8] Spherical and geodesic growth rates of right-angled Coxeter and Artin groups are Perron numbers
Kolpakov, Alexander
Talambutsa, Alexey
DISCRETE MATHEMATICS, 2020, 343 (03)
[9] Subgroup Growth of Virtually Cyclic Right-Angled Coxeter Groups and Their Free Products
Hyungryul Baik
Bram Petri
Jean Raimbault
Combinatorica, 2019, 39 : 779 - 811
[10] Polyhedral products and commutator subgroups of right-angled Artin and Coxeter groups
Panov, T. E.
Veryovkin, Ya. A.
SBORNIK MATHEMATICS, 2016, 207 (11) : 1582 - 1600

← 1 2 3 4 5 →