Every group is an outer automorphism group of a finitely generated group

被引：21

作者：

Bumagin, I ^{[1
]}

Wise, DT

机构：

[1] Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada

[2] McGill Univ, Dept Math, Montreal, PQ H3A 2K6, Canada

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2005年 / 200卷 / 1-2期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1016/j.jpaa.2004.12.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that every countable group Q is isomorphic to Out(N) where N is a finitely generated subgroup of a countable C'((1)/(6)) small-cancellation group G. Furthermore, when Q is finitely presented, we can choose G to be finitely presented and residually finite. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：137 / 147

页数：11

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