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).
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页码：102 / 112
页数：11
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