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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 4, Pages 833–836
(Mi smj1748)
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This article is cited in 6 scientific papers (total in 6 papers)
On finite groups with some subgroups of prime indices
V. S. Monakhov, V. N. Tyutyanov Francisk Skorina Gomel State University
Abstract:
We establish the solvability of each finite group whose every proper nonmaximal subgroup lies in some subgroup of prime index.
Keywords:
finite group, maximal subgroup, index, solvable group, supersolvable group, Fitting subgroup.
Received: 09.02.2006
Citation:
V. S. Monakhov, V. N. Tyutyanov, “On finite groups with some subgroups of prime indices”, Sibirsk. Mat. Zh., 48:4 (2007), 833–836; Siberian Math. J., 48:4 (2007), 666–668
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https://www.mathnet.ru/eng/smj1748 https://www.mathnet.ru/eng/smj/v48/i4/p833
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Abstract page: | 443 | Full-text PDF : | 190 | References: | 71 |
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