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.
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页码：291 / 293
页数：3
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