Hyperbolic automorphisms of free groups

被引：76

作者：

Brinkmann, P ^{[1
]}

机构：

[1] Univ Illinois, Dept Math, Urbana, IL 61801 USA

来源：

GEOMETRIC AND FUNCTIONAL ANALYSIS | 2000年 / 10卷 / 05期

关键词：

D O I：

10.1007/PL00001647

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that an automorphism phi : F --> F of a finitely generated free group F is hyperbolic in the sense of Gromov if it has no nontrivial periodic conjugacy classes. This result was previously claimed (but not proved) in [BF1].

引用

页码：1071 / 1089

页数：19

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