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

Standard

On the Local Case in the Aschbacher Theorem for Symplectic and Orthogonal Groups. / Yang, N.; Galt, A. A.

In: Siberian Mathematical Journal, Vol. 62, No. 2, 03.2021, p. 377-382.

Research output: Contribution to journal › Article › peer-review

Harvard

Yang, N & Galt, AA 2021, 'On the Local Case in the Aschbacher Theorem for Symplectic and Orthogonal Groups', Siberian Mathematical Journal, vol. 62, no. 2, pp. 377-382. https://doi.org/10.1134/S0037446621020178

APA

Yang, N., & Galt, A. A. (2021). On the Local Case in the Aschbacher Theorem for Symplectic and Orthogonal Groups. Siberian Mathematical Journal, 62(2), 377-382. https://doi.org/10.1134/S0037446621020178

Vancouver

Yang N, Galt AA. On the Local Case in the Aschbacher Theorem for Symplectic and Orthogonal Groups. Siberian Mathematical Journal. 2021 Mar;62(2):377-382. doi: 10.1134/S0037446621020178

Author

Yang, N. ; Galt, A. A. / On the Local Case in the Aschbacher Theorem for Symplectic and Orthogonal Groups. In: Siberian Mathematical Journal. 2021 ; Vol. 62, No. 2. pp. 377-382.

BibTeX

@article{fb7fad0f2c164b548f0851e34bb67be2,

title = "On the Local Case in the Aschbacher Theorem for Symplectic and Orthogonal Groups",

abstract = "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.",

keywords = "512.542, Aschbacher Theorem, orthogonal group, radical $ r $-subgroup, symplectic group",

author = "N. Yang and Galt, {A. A.}",

year = "2021",

month = mar,

doi = "10.1134/S0037446621020178",

language = "English",

volume = "62",

pages = "377--382",

journal = "Siberian Mathematical Journal",

issn = "0037-4466",

publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",

number = "2",

}

RIS

TY - JOUR

T1 - On the Local Case in the Aschbacher Theorem for Symplectic and Orthogonal Groups

AU - Yang, N.

AU - Galt, A. A.

PY - 2021/3

Y1 - 2021/3

N2 - 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.

AB - 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.

KW - 512.542

KW - Aschbacher Theorem

KW - orthogonal group

KW - radical $ r $-subgroup

KW - symplectic group

UR - http://www.scopus.com/inward/record.url?scp=85103963068&partnerID=8YFLogxK

U2 - 10.1134/S0037446621020178

DO - 10.1134/S0037446621020178

M3 - Article

AN - SCOPUS:85103963068

VL - 62

SP - 377

EP - 382

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 2

ER -

ID: 28317496