A group theoretic criterion for property FA

被引：31

作者：

Culler, M ^{[1
]}

Vogtmann, K ^{[1
]}

机构：

[1] CORNELL UNIV,DEPT MATH,ITHACA,NY 14853

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1996年 / 124卷 / 03期

关键词：

property FA; group actions on trees;

D O I：

10.1090/S0002-9939-96-03217-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give group-theoretic conditions on a set of generators of a group G which imply that G admits no non-trivial action on a tree. The criterion applies to several interesting classes of groups, including automorphism groups of most free groups and mapping class groups of most surfaces.

引用

页码：677 / 683

页数：7

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