Splittings of triangle Artin groups

被引：1

作者：

Jankiewicz, Kasia ^{[1
]}

机构：

[1] Univ Calif Santa Cruz, Dept Math, 1156 High St, Santa Cruz, CA 95060 USA

来源：

GROUPS GEOMETRY AND DYNAMICS | 2024年 / 18卷 / 01期

基金：

美国国家科学基金会;

关键词：

Artin groups; graphs of free groups; residual finiteness; RESIDUAL FINITENESS; BRAID-GROUPS; LINEARITY;

D O I：

10.4171/GGD/740

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a triangle Artin group Art(MNP), where M <= N <= P, splits as an amalgamated product or an HNN extension of finite rank free groups, provided that either M > 2 or N > 3. We also prove that all even 3 -generator Artin groups are residually finite.

引用

页码：91 / 108

页数：18

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