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On the Local Case in the Aschbacher Theorem for Symplectic and Orthogonal Groups Научная публикация

Журнал

Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260

Вых. Данные

Год: 2021, Том: 62, Номер: 2, Страницы: 377-382 Страниц : 6 DOI: 10.1134/S0037446621020178

Ключевые слова

512.542; Aschbacher Theorem; orthogonal group; radical $ r $-subgroup; symplectic group

Авторы

Yang N. ^1,2 , Galt A.A. ^3,4

Организации

1	School of Science, Wuxi, China
2	Jiangnan University, Wuxi, China
3	Sobolev Institute of Mathematics, Novosibirsk, Russian Federation
4	Novosibirsk State University, Novosibirsk, Russian Federation

We consider the subgroups $ H $ in a symplectic or orthogonal groupover a finite field of odd characteristic such that $ O_{r}(H)\neq 1 $ for someodd prime $ r $. We obtain a refinement of the well-known Aschbacher Theoremon subgroups of classical groups for this case. © 2021, Pleiades Publishing, Ltd.

Yang N. , Galt A.A.
On the Local Case in the Aschbacher Theorem for Symplectic and Orthogonal Groups
Siberian Mathematical Journal. 2021. V.62. N2. P.377-382. DOI: 10.1134/S0037446621020178 WOS Scopus OpenAlex

Web of science:	WOS:000635714500017
Scopus:	2-s2.0-85103963068
OpenAlex:	W3147067505

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