Automorphism groups of semidirect products

被引：6

作者：

Zhou, Fang ^{[1
]}

Liu, Heguo ^{[1
]}

机构：

[1] Hubei Univ, Dept Math, Wuhan 430062, Hubei, Peoples R China

来源：

ARCHIV DER MATHEMATIK | 2008年 / 91卷 / 03期

关键词：

automorphism group; semidirect product; metacyclic group;

D O I：

10.1007/s00013-008-2726-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper shows that if G = H x K is a semidirect product of finite groups, then Aut G = C(Aut G)(H) C(Aut) (G)(K) if and only if theta(K) boolean AND H = 1 and [K,theta] subset of C(G)(H) for all theta is an element of Aut G. As an application, we investigate the automorphism group of a split metacyclic p-group for odd p.

引用

页码：193 / 198

页数：6