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

в: Siberian Mathematical Journal, Том 62, № 2, 03.2021, стр. 377-382.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

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

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Yang, N. ; Galt, A. A. / On the Local Case in the Aschbacher Theorem for Symplectic and Orthogonal Groups. в: Siberian Mathematical Journal. 2021 ; Том 62, № 2. стр. 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.}",
note = "Publisher Copyright: {\textcopyright} 2021, Pleiades Publishing, Ltd. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
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.

N1 - Publisher Copyright: © 2021, Pleiades Publishing, Ltd. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

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