Random unipotent Sylow subgroups of groups of Lie type of bounded rank | Sciact - Система учета научной деятельности ИМ СО РАН

Random unipotent Sylow subgroups of groups of Lie type of bounded rank Научная публикация

Журнал

Journal of Pure and Applied Algebra
ISSN: 0022-4049

Вых. Данные

Год: 2025, Том: 229, Номер: 8, Номер статьи : 108007, Страниц : 11 DOI: 10.1016/j.jpaa.2025.108007

Ключевые слова

Sylow subgroup, Group of Lie type, Random subgroup

Авторы

Skresanov Saveliy V. ¹

Организации

1	Sobolev Institute of Mathematics

Информация о финансировании (1)

Институт математики им. С.Л. Соболева СО РАН

FWNF-2022-0002

In 2001 Liebeck and Pyber showed that a finite simple group of Lie type is a product of 25 carefully chosen unipotent Sylow subgroups. Later, in a series of works it was shown that 4 unipotent Sylow subgroups suffice. We prove that if the rank of a f inite simple group of Lie type G is bounded, then G is a product of 11 random unipotent Sylow subgroups with probability tending to 1 as |G| tends to infinity. An application of the result to finite linear groups is given. The proofs do not depend on the classification of finite simple groups.

Skresanov S.V.
Random unipotent Sylow subgroups of groups of Lie type of bounded rank
Journal of Pure and Applied Algebra. 2025. V.229. N8. 108007 :1-11. DOI: 10.1016/j.jpaa.2025.108007 WOS Scopus РИНЦ OpenAlex

Поступила в редакцию:	20 февр. 2025 г.
Принята к публикации:	27 апр. 2025 г.
Опубликована online:	26 мая 2025 г.
Опубликована в печати:	30 мая 2025 г.

≡ Web of science:	WOS:001506214900003
≡ Scopus:	2-s2.0-105006553572
≡ РИНЦ:	87356489
≡ OpenAlex:	W4410733617