Centralisers of Dehn twist automorphisms of free groups

被引：5

作者：

Rodenhausen, Moritz ^{[1
]}

Wade, Richard D. ^{[2
]}

机构：

[1] Math Inst, D-53115 Bonn, Germany

[2] Univ Utah, Dept Math, Salt Lake City, UT 84113 USA

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2015年 / 159卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

GRAPHS; CONJUGACY; SUBGROUPS; TREES;

D O I：

10.1017/S0305004115000225

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We refine Cohen and Lustig's description of centralisers of Dehn twists of free groups. We show that the centraliser of a Dehn twist of a free group has a subgroup of finite index that has a finite classifying space. We describe an algorithm to find a presentation of the centraliser. We use this algorithm to give an explicit presentation for the centraliser of a Nielsen automorphism in Aut(F-n). This gives restrictions to actions of Aut(F-n) on CAT(0) spaces.

引用

页码：89 / 114

页数：26

共 25 条

[1]

[Anonymous], 1999, Metric Spaces of Non-Positive Curvature

[2]

[Anonymous], 1977, Combinatorial group theory

[3] Automorphism groups of tree actions and of graphs of groups [J].