An obstruction to the strong relative hyperbolicity of a group

被引：17

作者：

Anderson, James W. ^{[1
]}

Aramayona, Javier

Shackleton, Kenneth J.

机构：

[1] Univ Southampton, Sch Math, Southampton SO17 1BJ, Hants, England

[2] Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England

来源：

JOURNAL OF GROUP THEORY | 2007年 / 10卷 / 06期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1515/JGT.2007.054

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a simple combinatorial criterion for a group that, when satisfied, implies that the group cannot be strongly relatively hyperbolic. The criterion applies to several classes of groups, such as surface mapping class groups, Torelli groups, and automorphism and outer automorphism groups of free groups.

引用

页码：749 / 756

页数：8

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