Hall's theorem for limit groups

被引：43
|
作者：
Wilton, Henry [1 ]
机构：
[1] Univ Texas Austin, Dept Math, Austin, TX 78712 USA
来源：
GEOMETRIC AND FUNCTIONAL ANALYSIS | 2008年 / 18卷 / 01期
基金：
英国工程与自然科学研究理事会;
关键词：
limit groups; subgroup separability;
D O I：
10.1007/s00039-008-0657-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A celebrated theorem of Marshall Hall Jr. implies that finitely generated free groups are subgroup separable and that all of their finitely generated subgroups are retracts of finite-index subgroups. We use topological techniques inspired by the work of Stallings to prove that all limit groups share these two properties. This answers a question of Sela.
引用
收藏
页码：271 / 303
页数：33
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