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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 5, Pages 1100–1110
DOI: https://doi.org/10.17377/smzh.2015.56.510
(Mi smj2700)
 

This article is cited in 2 scientific papers (total in 2 papers)

On the chief factors of maximal parabolic subgroups of twisted classical groups

V. V. Korablevaab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
b Chelyabinsk State University, Chelyabinsk, Russia
Full-text PDF (351 kB) Citations (2)
References:
Abstract: For the finite simple groups of twisted Lie types $^2A_l$ and $^2D_l$, we specify the description for the chief factors of a maximal parabolic subgroup which are involved in its unipotent radical. We prove a theorem in which, for every maximal parabolic subgroup of the groups $^2A_l(q^2)$ and $^2D_l(q^2)$ , we give the fragments of the chief series involving in the unipotent radical of this parabolic subgroup. The generators of the corresponding chief factors are presented in tables.
Keywords: finite group of Lie type, parabolic subgroup, chief factor, unipotent radical.
Received: 08.01.2015
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 5, Pages 879–887
DOI: https://doi.org/10.1134/S0037446615050109
Bibliographic databases:
Document Type: Article
UDC: 512.542.5
Language: Russian
Citation: V. V. Korableva, “On the chief factors of maximal parabolic subgroups of twisted classical groups”, Sibirsk. Mat. Zh., 56:5 (2015), 1100–1110; Siberian Math. J., 56:5 (2015), 879–887
Citation in format AMSBIB
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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