On the commutator subgroup of a right-angled Artin group

被引：4

作者：

Panov, Taras ^{[1
,2
,3
]}

Veryovkin, Yakov ^{[4
]}

机构：

[1] Moscow MV Lomonosov State Univ, Dept Math & Mech, Moscow 119991, Russia

[2] Inst Theoret & Expt Phys, Moscow, Russia

[3] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow, Russia

[4] Russian Acad Sci, Steklov Math Inst, Moscow, Russia

来源：

JOURNAL OF ALGEBRA | 2019年 / 521卷

基金：

俄罗斯科学基金会;

关键词：

Right-angled Artin group; Commutator subgroup; Polyhedral product; ALGEBRAS;

D O I：

10.1016/j.jalgebra.2018.11.022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use polyhedral product models to analyse the structure of the commutator subgroup of a right-angled Artin group. In particular, we provide a minimal set of generators for the commutator subgroup, consisting of special iterated commutators of canonical generators. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：284 / 298

页数：15

共 50 条

[1] A finitely presented subgroup of the automorphism group of a right-angled Artin group
Toinet, Emmanuel
JOURNAL OF GROUP THEORY, 2012, 15 (06) : 811 - 822
[2] RIGHT-ANGLED ARTIN GROUP BOUNDARIES
Ben-Zvi, Michael
Kropholler, Robert
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 149 (02) : 555 - 567
[3] Right-angled Artin subgroups of right-angled Coxeter and Artin groups
Dani, Pallavi
Levcovitz, Ivan
ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2024, 24 (02): : 755 - 802
[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] Subgroup growth of right-angled Artin and Coxeter groups
Baik, Hyungryul
Petri, Bram
Raimbault, Jean
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2020, 101 (02): : 556 - 588
[6] 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
[7] The geometry of the curve graph of a right-angled Artin group
Kim, Sang-Hyun
Koberda, Thomas
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2014, 24 (02) : 121 - 169
[8] The depth of a Riemann surface and of a right-angled Artin group
Yves Félix
Steve Halperin
Journal of Homotopy and Related Structures, 2020, 15 : 223 - 248
[9] The depth of a Riemann surface and of a right-angled Artin group
Felix, Yves
Halperin, Steve
JOURNAL OF HOMOTOPY AND RELATED STRUCTURES, 2020, 15 (01) : 223 - 248
[10] Arithmetic quotients of the automorphism group of a right-angled Artin group
Malestein, Justin
GROUPS GEOMETRY AND DYNAMICS, 2022, 16 (04) : 1225 - 1265

← 1 2 3 4 5 →