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Эта публикация цитируется в 8 научных статьях (всего в 8 статьях)
Математическая логика, алгебра и теория чисел
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
Аннотация:
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.
Ключевые слова:
primitive permutation group, finite simple group, classical group, maximal subgroup, odd index.
Поступила 14 октября 2017 г., опубликована 15 июня 2018 г.
Образец цитирования:
N. V. Maslova, “Classification of maximal subgroups of odd index in finite simple classical groups: addendum”, Сиб. электрон. матем. изв., 15 (2018), 707–718
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/semr947 https://www.mathnet.ru/rus/semr/v15/p707
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