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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 2, Pages 296–303 (Mi smj2533)  
This article is cited in 2 scientific papers (total in 2 papers)

On the local case in the Aschbacher theorem for linear and unitary groups

A. A. Galta, W. Guoa, E. M. Averkinb, D. O. Revincb

a Department of Mathematics, University of Science and Technology of China, Hefei, P. R. China
b Novosibirsk State University, Novosibirsk, Russia
c Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (323 kB) Citations (2)
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Abstract: We consider the subgroups $H$ in a linear or a unitary group $G$ over a finite field such that $O_r(H)\not\leq Z(G)$ for some odd prime $r$. We obtain a refinement of the well-known Aschbacher theorem on subgroups of classical groups for this case.
Keywords: linear group, unitary group, Aschbacher class, radical $r$-subgroup.
Received: 25.06.2013
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 2, Pages 239–245
DOI: https://doi.org/10.1134/S0037446614020062
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: A. A. Galt, W. Guo, E. M. Averkin, D. O. Revin, “On the local case in the Aschbacher theorem for linear and unitary groups”, Sibirsk. Mat. Zh., 55:2 (2014), 296–303; Siberian Math. J., 55:2 (2014), 239–245
Citation in format AMSBIB
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\pages 296--303
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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