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Nonabelian composition factors of a finite group whose all maximal subgroups are hall

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Abstract

We obtain a full description of nonabelian composition factors for a finite nonsoluble group whose all maximal subgroups are Hall. Thus we solve Problem 17.92 in the “Kourovka Notebook.”

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Federal University, Ekaterinburg, Russia

    N. V. Maslova

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Correspondence to N. V. Maslova.

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Dedicated to Maslov Nikolaĭ Yakovlevich and Maslova Margarita Ivanovna.

Original Russian Text Copyright 2012 Maslova N.V.

The author was supported by the Russian Foundation for Basic Research (Grant 10-01-00324), the Joint Program of the Ural and Siberian Divisions of the Russian Academy of Sciences (Grant 12-C-1-1018) and the Ural Division of the Russian Academy of Sciences and the National Academy of Sciences of Belarus (Grant 12-C-1-1009), a grant of the President of the Russian Federation for the Young Candidates of Sciences (Grant MK-3395.2012.1), and the Program for Young Scientific Projects of the Ural Division of the Russian Academy of Sciences (Grant A3).

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Ekaterinburg. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 53, No. 5, pp. 1065–1076, September–October, 2012.

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Maslova, N.V. Nonabelian composition factors of a finite group whose all maximal subgroups are hall. Sib Math J 53, 853–861 (2012). https://doi.org/10.1134/S0037446612050102

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