Solvable Subgroups of Out(Fn) are Virtually Abelian

被引：0

作者：

Mladen Bestvina

Mark Feighn

Michael Handel

机构：

[1] University of Utah,Department of Mathematics

[2] Rutgers University,Mathematics Department

[3] City University of New York,Mathematics and Computer Science Department, Lehman College

来源：

Geometriae Dedicata | 2004年 / 104卷

关键词：

free group; outer automorphism; solvable; relative train track;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let Fn be the free group of rank n, let Aut(Fn) be its automorphism group and let Out(Fn) be its outer automorphism group. We show that every solvable subgroup of Out(Fn) has a finite index subgroup that is finitely generated and free Abelian. We also show that every Abelian subgroup of Out(Fn) has a finite index subgroup that lifts to Aut(Fn).

引用

页码：71 / 96

页数：25

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