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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 3, Pages 527–542 (Mi smj2343)  
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
Full-text PDF (362 kB) Citations (31)
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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
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 3, Pages 419–430
DOI: https://doi.org/10.1134/S0037446612020231
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 31 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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