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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 3, Pages 527–542
(Mi smj2343)
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This article is cited in 31 scientific papers (total in 31 papers)
Pronormality of Hall subgroups in finite simple groups
E. P. Vdovinab, D. O. Revinab a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University, Novosibirsk
Abstract:
We prove that the Hall subgroups of finite simple groups are pronormal. Thus we obtain an affirmative answer to Problem 17.45(a) of the Kourovka Notebook.
Keywords:
Hall subgroup, pronormal subgroup, simple group.
Received: 28.06.2011
Citation:
E. P. Vdovin, D. O. Revin, “Pronormality of Hall subgroups in finite simple groups”, Sibirsk. Mat. Zh., 53:3 (2012), 527–542; Siberian Math. J., 53:3 (2012), 419–430
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https://www.mathnet.ru/eng/smj2343 https://www.mathnet.ru/eng/smj/v53/i3/p527
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Abstract page: | 470 | Full-text PDF : | 120 | References: | 74 | First page: | 2 |
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