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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2018, Volume 15, Pages 707–718
DOI: https://doi.org/10.17377/semi.2018.15.056
(Mi semr947)
 

This article is cited in 8 scientific papers (total in 8 papers)

Mathematical logic, algebra and number theory

Classification of maximal subgroups of odd index in finite simple classical groups: addendum

N. V. Maslovaab

a Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Science, 16, S. Kovalevskaja Street, 620990, Yekaterinburg, Russia
b Ural Federal University named after the first President of Russia B. N. Yeltsin, 19, Mira Street, 620002, Yekaterinburg, Russia
Full-text PDF (147 kB) Citations (8)
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Abstract: A classification of maximal subgroups of odd index in finite simple groups was obtained by M. Liebeck and J. Saxl and, independently, by W. Kantor in 1980s. In the cases of alternating groups and classical groups of Lie type over fields of odd characteristics, the classification was not complete.
The classification was completed by the author in 2008. In the cases of finite simple classical groups of Lie type we referred to results obtained in P. Kleidman's PhD thesis. However, it turned out that the thesis contains a number of flaws that were corrected by J. Bray, D. Holt, and C. Roney–Dougal in 2013. Due to uncovered circumstances, in this note we provide a revision of our classification.
Keywords: primitive permutation group, finite simple group, classical group, maximal subgroup, odd index.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation MK-6118.2016.1
02.A03.21.0006
The work was supported by the grant of the President of the Russian Federation for young scientists (grant no. MK-6118.2016.1) and by the Program for State Support of Leading Universities of the Russian Federation (agreement no. 02.A03.21.0006 of August 27, 2013).
Received October 14, 2017, published June 15, 2018
Bibliographic databases:
Document Type: Article
UDC: 512.54
MSC: 20D60, 20D06
Language: English
Citation: N. V. Maslova, “Classification of maximal subgroups of odd index in finite simple classical groups: addendum”, Sib. Èlektron. Mat. Izv., 15 (2018), 707–718
Citation in format AMSBIB
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\by N.~V.~Maslova
\paper Classification of maximal subgroups of odd index in finite simple classical groups: addendum
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 707--718
\mathnet{http://mi.mathnet.ru/semr947}
\crossref{https://doi.org/10.17377/semi.2018.15.056}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000438412200056}
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