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.
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页码：137 / 147
页数：11
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