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Closures of permutation groups with restricted nonabelian composition factors Научная публикация

Журнал

Bulletin of Mathematical Sciences
ISSN: 1664-3607 , E-ISSN: 1664-3615

Вых. Данные

Год: 2025, DOI: 10.1142/s1664360725500122

Ключевые слова

Permutation group; Alt(d)-free group; k-closure

Авторы

Ponomarenko Ilia ¹ , Skresanov Saveliy V. ^2,3 , Vasil'ev Andrey V. ^2,3

Организации

1	St. Petersburg Department of Steklov Mathematical Institute
2	Novosibirsk State University
3	Sobolev Institute of Mathematics

Информация о финансировании (1)

Российский научный фонд

24-11-00127

Given a permutation group G on a finite set Ω, let G(k) denote the k-closure of G,that is, the largest permutation group on Ω having the same orbits in the induced action on Ωk as G. Recall that a group is Alt(d)-free if it does not contain a section isomorphic to the alternating group of degree d. Motivated by some problems in computational group theory, we prove that the k-closure of an Alt(d)-free group is again Alt(d)-free for k ≥ 4 and d ≥ 25.

Ponomarenko I. , Skresanov S.V. , Vasil'ev A.V.
Closures of permutation groups with restricted nonabelian composition factors
Bulletin of Mathematical Sciences. 2025. DOI: 10.1142/s1664360725500122 WOS Scopus OpenAlex

Поступила в редакцию:	22 июн. 2024 г.
Принята к публикации:	14 июн. 2025 г.
Опубликована online:	1 июл. 2025 г.

Web of science:	WOS:001519779200001
Scopus:	2-s2.0-105009489164
OpenAlex:	W4411499245

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