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Relatively Maximal Subgroups of Odd Index in Symmetric Groups Full article

Journal Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302
Output data Year: 2022, Volume: 61, Number: 2, Pages: 104-124 Pages count : 21 DOI: 10.1007/s10469-022-09680-0
Tags complete class; maximal x-subgroup; subgroup of odd index; submaximal x-subgroup; symmetric group
Authors Vasil’ev A.S. 1,2,3 , Revin D.O. 1,2,3
Affiliations
1 Sobolev Institute of Mathematics, Novosibirsk, Russia.
2 Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia.
3 Novosibirsk State University, Novosibirsk

Funding (1)

1 Russian Science Foundation 19-71-10067

Abstract: Let X be a class of finite groups which contains a group of order 2 and is closed under subgroups, homomorphic images, and extensions. We define the concept of an Xadmissible diagram representing a natural number n. Associated with each n are finitely many such diagrams, and they all can be found easily. Admissible diagrams representing anumbern are used to uniquely parametrize conjugacy classes of maximal X-subgroups of odd index in the symmetric group Symn, and we define the structure of such groups. As a consequence, we obtain a complete classification of submaximal X-subgroups of odd index in alternating groups.
Cite: Vasil’ev A.S. , Revin D.O.
Relatively Maximal Subgroups of Odd Index in Symmetric Groups
Algebra and Logic. 2022. V.61. N2. P.104-124. DOI: 10.1007/s10469-022-09680-0 WOS Scopus РИНЦ OpenAlex
Original: Васильев А.С. , Ревин Д.О.
Относительно максимальные подгруппы нечетного индекса в симметрических группах
Алгебра и логика. 2022. Т.61. №2. С.150-179. DOI: 10.33048/alglog.2022.61.202 РИНЦ
Dates:
Submitted: Feb 17, 2022
Accepted: Sep 1, 2022
Published print: Oct 15, 2022
Published online: Oct 15, 2022
Identifiers:
Web of science: WOS:000869236500001
Scopus: 2-s2.0-85139818635
Elibrary: 51664533
OpenAlex: W4306318227
Citing: Пока нет цитирований
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