The Recognition Theorem for Out(Fn)

被引：36

作者：

Feighnand, Mark ^{[1
]}

Handel, Michael ^{[2
]}

机构：

[1] Rutgers State Univ, Dept Math & Comp Sci, Newark, NJ 07102 USA

[2] CUNY Herbert H Lehman Coll, Dept Math & Comp Sci, Bronx, NY 10468 USA

来源：

GROUPS GEOMETRY AND DYNAMICS | 2011年 / 5卷 / 01期

基金：

美国国家科学基金会;

关键词：

Outer automorphisms; free group; AUTOMORPHISMS; DYNAMICS; LAMINATIONS; SUBGROUPS; NIELSEN; SETS;

D O I：

10.4171/GGD/116

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Our goal is to find dynamic invariants that completely determine elements of the outer automorphism group Out (F-n) of the free group F-n of rank n. To avoid finite order phenomena, we do this for forward rotationless elements. This is not a serious restriction. For example, there is K-n > 0 depending only on n such that, for all phi is an element of Out(F-n), phi(Kn) is forward rotationless. An important part of our analysis is to show that rotationless elements are represented by particularly nice relative train track maps.

引用

页码：39 / 106

页数：68

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