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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 5, Pages 1065–1076
(Mi smj2330)
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This article is cited in 15 scientific papers (total in 15 papers)
Nonabelian composition factors of a finite group whose all maximal subgroups are Hall
N. V. Maslovaab a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Ural Federal University, Ekaterinburg
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”.
Keywords:
finite group, nonsoluble group, maximal subgroup, Hall subgroup, nonabelian composition factor.
Received: 01.12.2011
Citation:
N. V. Maslova, “Nonabelian composition factors of a finite group whose all maximal subgroups are Hall”, Sibirsk. Mat. Zh., 53:5 (2012), 1065–1076; Siberian Math. J., 53:5 (2012), 853–861
Linking options:
https://www.mathnet.ru/eng/smj2330 https://www.mathnet.ru/eng/smj/v53/i5/p1065
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Abstract page: | 430 | Full-text PDF : | 125 | References: | 106 | First page: | 4 |
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