Automorphisms of direct products of finite groups |
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Authors: | J. N. S. Bidwell M. J. Curran D. J. McCaughan |
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Affiliation: | (1) Department of Mathematics and Statistics, University of Otago, P.O. Box 56, Dunedin, New Zealand |
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Abstract: | This paper shows that if H and K are finite groups with no common direct factor and G = H × K, then the structure and order of Aut G can be simply expressed in terms of Aut H, Aut K and the central homomorphism groups Hom (H, Z(K)) and Hom (K, Z(H)). Received: 18 April 2005; revised: 9 June 2005 |
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Keywords: | Primary 20E36 Secondary 20D45 |
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