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On the intersection of maximal subgroups in finite groups

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Abstract

The intersections of maximal subgroups of a definite kind in finite groups are investigated. In particular, it is proved that the intersection of all noninvariant nonnilpotent maximal subgroups is nilpotent in a finite nonsolvable group.

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Science of the Belorussian SSR, USSR

    V. V. Shlyk

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  1. V. V. Shlyk
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Translated from Matematicheskie Zametki, Vol. 14, No. 3, pp. 429–439, September, 1973.

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Shlyk, V.V. On the intersection of maximal subgroups in finite groups. Mathematical Notes of the Academy of Sciences of the USSR 14, 804–809 (1973). https://doi.org/10.1007/BF01147460

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  • DOI: https://doi.org/10.1007/BF01147460

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