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Mutually permutable subgroups and group classes

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Abstract.

We consider the product AB of two finite mutually permutable subgroups A, B and find some subnormal subgroups of the product. This leads to local and otherwise generalized statements about products of supersolvable groups.

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Authors and Affiliations

  1. Department of Mathematics, University of Kentucky, Lexington, Kentucky, 40506-0027, USA

    James C. Beidleman

  2. Mathematisches Institut, Universität Würzburg, Am Hubland, D-97074, Würzburg, Germany

    Hermann Heineken

Authors
  1. James C. Beidleman
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  2. Hermann Heineken
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Correspondence to James C. Beidleman.

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Received: 19 May 2004

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Beidleman, J.C., Heineken, H. Mutually permutable subgroups and group classes. Arch. Math. 85, 18–30 (2005). https://doi.org/10.1007/s00013-005-1200-2

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  • DOI: https://doi.org/10.1007/s00013-005-1200-2

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