Automorphisms of direct products of finite groups II

被引:0
作者
J. N. S. Bidwell
机构
[1] University of Otago,
来源
Archiv der Mathematik | 2008年 / 91卷
关键词
Primary 20D45; Secondary 20H99; Automorphisms; direct products; finite groups;
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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 × K), where H and K have no common direct factor, to provide structure and order theorems for an arbitrary direct product.
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页码:111 / 121
页数:10
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