On inner automorphisms and certain central automorphisms of groups

被引：0
作者：
Zahedeh Azhdari
Mehri Akhavan-Malayeri
机构：
[1] Alzahra University,Department of Mathematics
来源：
Indian Journal of Pure and Applied Mathematics | 2014年 / 45卷
关键词：
Inner automorphism; central automorphism; finitely generated group;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let G be a group, let M and N be two normal subgroups of G. We denote by AutNM (G), the set of all automorphisms of G which centralize G/M and N. In this paper we investigate the structure of a group G in which one of the Inn(G) = AutNM (G), AutNM(G) ≤ Inn(G) or Inn(G) ≤ AutNM(G) holds. We also discuss the problem: “what conditions on G is sufficient to ensure that G has a non-inner automorphism which centralizes G/M and N”.
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页码：377 / 394
页数：17
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