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

被引:24
|
作者
Abdollahi, A. [1 ]
机构
[1] Univ Isfahan, Dept Math, Esfahan 81746, Iran
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
收藏
页码:876 / 879
页数:4
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