Noninner automorphisms of order p of finite p-groups

被引：36

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

页码：283 / 287

页数：5