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Finite groups all n-th maximal subgroups of which are generalized schmidt groups

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Abstract

The article contains a complete description of finite groups, every maximal solvable subgroup H of which possesses the following property: all (n−1)-th maximal subgroups of H are generalized Schmidt groups. It is shown that n=1.

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Authors and Affiliations

  1. Rostov-on-Don Engineering-Construction Institute, USSR

    Ya. G. Berkovich

Authors
  1. Ya. G. Berkovich
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Translated from Matematicheskie Zametki, Vol. 5, No. 1, pp. 129–136, 1969.

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Berkovich, Y.G. Finite groups all n-th maximal subgroups of which are generalized schmidt groups. Mathematical Notes of the Academy of Sciences of the USSR 5, 80–84 (1969). https://doi.org/10.1007/BF01098722

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  • DOI: https://doi.org/10.1007/BF01098722

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