A description of auto-fixed subgroups in a free group

被引：5

作者：

Martino, A

Ventura, E

机构：

[1] Univ Politecn Cataluna, Dept Math Appl 3, Barcelona 08240, Catalunya, Spain

[2] Univ Southampton, Dept Math, Southampton SO9 5NH, Hants, England

[3] CUNY City Coll, Dept Math, New York, NY 10031 USA

来源：

TOPOLOGY | 2004年 / 43卷 / 05期

基金：

英国工程与自然科学研究理事会;

关键词：

free group; automorphism; fixed subgroup; eigengroup;

D O I：

10.1016/j.top.2004.01.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F be a finitely generated free group. Using Bestvina-Handel's theory of train tracks and improvements upon it, the eigengroups of arbitrary automorphisms of F are analysed globally. In particular, an explicit description of all subgroups of F which occur as the fixed subgroup of some automorphism is given. (C) 2004 Published by Elsevier Ltd.

引用

页码：1133 / 1164

页数：32

共 19 条

[1] Supports of derivations, free factorizations, and ranks of fixed subgroups in free groups [J].