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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 6, Pages 1375–1383
DOI: https://doi.org/10.17377/smzh.2015.56.614
(Mi smj2720)
 

This article is cited in 14 scientific papers (total in 14 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
References:
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
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 6, Pages 1101–1107
DOI: https://doi.org/10.1134/S0037446615060142
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
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
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/smj/v56/i6/p1375
  • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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