Noninner automorphisms of order p of finite p-groups

被引：34
|
作者：
Deaconescu, M
Silberberg, G
机构：
[1] Kuwait Univ, Dept Math & Comp Sci, Safat 13060, Kuwait
[2] Western Univ Timisoara, Dept Math, Timisoara 1900, Romania
来源：
JOURNAL OF ALGEBRA | 2002年 / 250卷 / 01期
关键词：
D O I：
10.1006/jabr.2001.9093
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main result of this paper shows that if G is a finite nonabelian p-group and if C-G(Z(Phi(G))) not equal Phi(G), then G has a noninner automorphism of order p which fixes Phi(G). This reduces the verification of the longstanding conjecture that every finite nonabelian p-group G has a noninner automorphism of order p to the degenerate case in which C-G(Z(Phi(G))) = Phi(G). (C) 2002 Elsevier Science (USA).
引用
收藏
页码：283 / 287
页数：5
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