Finite p-groups of class 2 have noninner automorphisms of order p

被引：26

作者：

Abdollahi, A. ^{[1
]}

机构：

[1] Univ Isfahan, Dept Math, Esfahan 81746, Iran

来源：

JOURNAL OF ALGEBRA | 2007年 / 312卷 / 02期

关键词：

automorphisms of p-groups; nilpotent groups of class 2; noninner automorphisms;

D O I：

10.1016/j.jalgebra.2006.08.036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that for any prime number p, every finite non-abelian p-group G of class 2 has a noninner automorphism of order p leaving either the Frattini subgroup Phi (G) or Omega(1) (Z(G)) element wise fixed. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：876 / 879

页数：4

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