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A solubility criterion for finite groups

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Abstract.

It is proved that a finite group is soluble if the normalizer of every cyclic subgroup of prime-power order has a soluble supplement.

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Authors and Affiliations

  1. Fachbereich Mathematik, Universität Mainz, D-55099, Mainz, Germany

    Bernhard Amberg

  2. Department of Mathematics, Yaroslavl State University, 150000, Yaroslavl, Russia

    Lev Kazarin

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  1. Bernhard Amberg
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  2. Lev Kazarin
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Correspondence to Bernhard Amberg.

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Received: 31 January 2005

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Amberg, B., Kazarin, L. A solubility criterion for finite groups. Arch. Math. 85, 9–14 (2005). https://doi.org/10.1007/s00013-005-1454-3

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  • DOI: https://doi.org/10.1007/s00013-005-1454-3

Mathematics Subject Classification (2000).

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