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This article is cited in 15 scientific papers (total in 15 papers)
On the pronormality of subgroups of odd index in finite simple groups
A. S. Kondrat'evab, N. V. Maslovaba, D. O. Revincd a Krasovskiĭ Institute of Mathematics and Mechanics, Ekaterinburg, Russia
b Ural Federal University, Ekaterinburg, Russia
c Sobolev Institute of Mathematics, Novosibirsk, Russia
d Novosibirsk State University, Novosibirsk, Russia
Abstract:
We prove the pronormality of subgroups of finite index for many classes of simple groups.
Keywords:
finite group, simple group, pronormal group, odd index, maximal subgroup, normalizer of a Sylow subgroup.
Received: 13.02.2015
Citation:
A. S. Kondrat'ev, N. V. Maslova, D. O. Revin, “On the pronormality of subgroups of odd index in finite simple groups”, Sibirsk. Mat. Zh., 56:6 (2015), 1375–1383; Siberian Math. J., 56:6 (2015), 1101–1107
Linking options:
https://www.mathnet.ru/eng/smj2720 https://www.mathnet.ru/eng/smj/v56/i6/p1375
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