AUTOMORPHISM AND OUTER AUTOMORPHISM GROUPS OF RIGHT-ANGLED ARTIN GROUPS ARE NOT RELATIVELY HYPERBOLIC

被引：1

作者：

Kim, Junseok ^{[1
]}

Oh, Sangrok ^{[1
]}

Tranchida, Philippe ^{[1
]}

机构：

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

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2022年 / 106卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

automorphism group; right-angled Artin group; relative hyperbolicity; FINITENESS PROPERTIES; GEOMETRY;

D O I：

10.1017/S0004972721001258

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the automorphism groups of right-angled Artin groups whose defining graphs have at least three vertices are not relatively hyperbolic. We then show that the outer automorphism groups are also not relatively hyperbolic, except for a few exceptional cases. In these cases, the outer automorphism groups are virtually isomorphic to either a finite group, an infinite cyclic group or GL(2)(Z).

引用

页码：102 / 112

页数：11

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