Class-preserving automorphisms of certain HNN extensions

被引：3

作者：

Zhou, Wei ^{[1
]}

Kim, Goansu ^{[2
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

[2] Yeungnam Univ, Kyongsan 712749, South Korea

来源：

JOURNAL OF ALGEBRA | 2015年 / 431卷

基金：

中国国家自然科学基金;

关键词：

HNN extensions; Class-preserving automorphisms; Residually finite; Conjugacy separable; Nilpotent groups; RESIDUAL FINITENESS; INNER AUTOMORPHISMS; 1-RELATOR GROUPS; PRODUCTS;

D O I：

10.1016/j.jalgebra.2015.02.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that, for any integers gamma, beta, class-preserving automorphisms of the HNN extension < B, t : t(-1) h(gamma)t = h(beta)> of a finitely generated nilpotent or free group B are all inner. It follows from Grossman's result that outer automorphism groups of such conjugacy separable HNN extensions are residually finite. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：127 / 137

页数：11

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