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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Volume 20, Number 2, Pages 122–134
(Mi timm1064)
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This article is cited in 5 scientific papers (total in 5 papers)
Nonabelian composition factors of a finite group with arithmetic constraints to nonsolvable maximal subgroups
E. N. Deminaa, N. V. Maslovabc a Moscow City Pedagogical University
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
c B. N. Yeltsin Ural Federal University
Abstract:
We obtain a complete description of nonabelian composition factors of a finite group in which any nonsolvable maximal subgroup has a primary index. We also complete V. A. Vedernikov's description of nonabelian composition factors of a finite group in which any nonsolvable maximal subgroup is a Hall subgroup.
Keywords:
finite group, maximal subgroup, solvable subgroup, Hall subgroup, composition factor, primary index.
Received: 17.03.2014
Citation:
E. N. Demina, N. V. Maslova, “Nonabelian composition factors of a finite group with arithmetic constraints to nonsolvable maximal subgroups”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 2, 2014, 122–134; Proc. Steklov Inst. Math. (Suppl.), 289, suppl. 1 (2015), 64–76
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https://www.mathnet.ru/eng/timm1064 https://www.mathnet.ru/eng/timm/v20/i2/p122
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Abstract page: | 378 | Full-text PDF : | 96 | References: | 87 | First page: | 14 |
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