Residual finiteness of outer automorphism groups of finitely generated non-triangle Fuchsian groups

被引：22

作者：

Allenby, RBJT ^{[1
]}

Kim, G

Tang, CY

机构：

[1] Univ Leeds, Leeds LS2 9JT, W Yorkshire, England

[2] Yeungnam Univ, Kyongsan 712749, South Korea

[3] Univ Waterloo, Waterloo, ON N2L 3G1, Canada

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2005年 / 15卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

outer automorphism groups; mapping class groups; generalized free products; residually finite; conjugacy separable;

D O I：

10.1142/S0218196705002104

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In [5] Grossman showed that outer automorphism groups of free groups and of fundamental groups of compact orientable surfaces are residually finite. In this paper we introduce the concept of "Property E" of groups and show that certain generalized free products and HNN extensions have this property. We deduce that the outer automorphism groups of finitely generated non-triangle Fuchsian groups are residually finite.

引用

页码：59 / 72

页数：14

共 8 条

[1] Residual finiteness of outer automorphism groups of certain pinched 1-relator groups [J].