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Automorphisms of direct products of finite groups II

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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.

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Authors and Affiliations

  1. University of Otago, PO Box 56, Dunedin, New Zealand

    J. N. S. Bidwell

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  1. J. N. S. Bidwell
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Correspondence to J. N. S. Bidwell.

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Received: 16 November 2007

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Bidwell, J.N.S. Automorphisms of direct products of finite groups II. Arch. Math. 91, 111–121 (2008). https://doi.org/10.1007/s00013-008-2653-5

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  • DOI: https://doi.org/10.1007/s00013-008-2653-5

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