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Archiv der Mathematik

, Volume 91, Issue 2, pp 111–121 | Cite as

Automorphisms of direct products of finite groups II

  • J. N. S. Bidwell
Article

Abstract.

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.

Mathematics Subject Classification (2000).

Primary 20D45 Secondary 20H99 

Keywords.

Automorphisms direct products finite groups 

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Copyright information

© Birkhaeuser 2008

Authors and Affiliations

  1. 1.University of OtagoDunedinNew Zealand

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