On the commutator subgroup of a right-angled Artin group

被引：5

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