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Automorphisms of direct products of finite groups

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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)).

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Otago, P.O. Box 56, Dunedin, New Zealand

    J. N. S. Bidwell, M. J. Curran & D. J. McCaughan

Authors
  1. J. N. S. Bidwell
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  2. M. J. Curran
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  3. D. J. McCaughan
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Corresponding author

Correspondence to M. J. Curran.

Additional information

Received: 18 April 2005; revised: 9 June 2005

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Bidwell, J.N.S., Curran, M.J. & McCaughan, D.J. Automorphisms of direct products of finite groups. Arch. Math. 86, 481–489 (2006). https://doi.org/10.1007/s00013-005-1547-z

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  • DOI: https://doi.org/10.1007/s00013-005-1547-z

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