Sib. Èlektron. Mat. Izv., 2018, Volume 15, Pages 707–718
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
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.
primitive permutation group, finite simple group, classical group, maximal subgroup, odd index.
|Ministry of Education and Science of the Russian Federation
|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).
PDF file (147 kB)
MSC: 20D60, 20D06
Received October 14, 2017, published June 15, 2018
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
\paper Classification of maximal subgroups of odd index in finite simple classical groups: addendum
\jour Sib. \`Elektron. Mat. Izv.
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