Automorphisms of direct products of finite groups II

被引：19

作者：

Bidwell, J. N. S. ^{[1
]}

机构：

[1] Univ Otago, Dunedin, New Zealand

来源：

ARCHIV DER MATHEMATIK | 2008年 / 91卷 / 02期

关键词：

automorphisms; direct products; finite groups;

D O I：

10.1007/s00013-008-2653-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we first find the automorphism group of the direct product of n copies of an indecomposable non-abelian group. We describe the automorphism group as matrices with entries which are homomorphisms between the n direct factors. We then use this description with a generalization of a result by Bidwell, Curran, and McCaughan on Aut (H x K), where H and K have no common direct factor, to provide structure and order theorems for an arbitrary direct product.

引用

页码：111 / 121

页数：11

共 8 条

[1] AUTOMORPHISMS OF A P-GROUP [J].