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

On the Local Case in the Aschbacher Theorem for Symplectic and Orthogonal Groups Full article

Journal

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

Output data

Year: 2021, Volume: 62, Number: 2, Pages: 377-382 Pages count : 6 DOI: 10.1134/S0037446621020178

Tags

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

Authors

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

Affiliations

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

Пока нет цитирований