Automorphisms of direct products of finite groups II
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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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