ON p-AUTOMORPHISMS THAT ARE INNER

被引：1

作者：

Attar, M. Shabani ^{[1
]}

机构：

[1] Univ Payam Noor, Dept Math, Fac Sci, Mashhad 91735433, Iran

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2009年 / 80卷 / 02期

关键词：

automorphism; central automorphism; finite p-group;

D O I：

10.1017/S0004972709000276

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a group and let C-Aut Phi(G) (Z(Phi(G))) be the set of all automorphisms of G centralizing G/Phi(G) and Z(Phi(G)). For each prime p and finite p-group G, we prove that C-Aut Phi(G)(Z(Phi(G))) <= Inn(G) if and only if G is elementary abelian or Phi(G) = Z(G) and Z(G) is cyclic.

引用

页码：291 / 293

页数：3

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