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Examples of Nonpronormal Relatively Maximal Subgroups of Finite Simple Groups Full article

Journal Proceedings of the Steklov Institute of Mathematics
ISSN: 0081-5438 , E-ISSN: 1531-8605
Output data Year: 2023, Volume: 323, Number: S1, Pages: S155–S159 Pages count : 5 DOI: 10.1134/S0081543823060135
Tags complete class of groups, relatively maximal subgroup, pronormal subgroup, finite simple group
Authors Li B. 1 , Revin D.O. 2,3
Affiliations
1 School of Sciences, Nantong University
2 Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
3 Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Funding (1)

1 Sobolev Institute of Mathematics FWNF-2022-0002

Abstract: Using R. Wilson’s recent results, we prove the existence of triples (X,G,H) such that X is a complete (i.e., closed under taking subgroups, homomorphic images, and extensions) class of finite groups, G is a finite simple group, and H is its X-maximal subgroup nonpronormal in G. This disproves a conjecture stated earlier by the second author and W. Guo.
Cite: Li B. , Revin D.O.
Examples of Nonpronormal Relatively Maximal Subgroups of Finite Simple Groups
Proceedings of the Steklov Institute of Mathematics. 2023. V.323. NS1. P.S155–S159. DOI: 10.1134/S0081543823060135 WOS Scopus РИНЦ OpenAlex
Original: Ли Б. , Ревин Д.О.
Примеры непронормальных относительно максимальных подгрупп в конечных простых группах
Труды Института математики и механики УрО РАН (Trudy Instituta Matematiki i Mekhaniki UrO RAN). 2023. Т.29. №4. С.140-145. DOI: 10.21538/0134-4889-2023-29-4-140-145 WOS РИНЦ OpenAlex
Dates:
Submitted: Aug 28, 2023
Accepted: Sep 18, 2023
Published print: Sep 18, 2023
Published online: Sep 18, 2023
Identifiers:
Web of science: WOS:001163182700013
Scopus: 2-s2.0-85182638734
Elibrary: 65548176
OpenAlex: W4391761113
Citing:
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