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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Volume 20, Number 2, Pages 230–237
(Mi timm1072)
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This article is cited in 3 scientific papers (total in 3 papers)
On chief factors of parabolic maximal subgroups of the groups $^2E_6(q^2)$
V. V. Korablevaab a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Chelyabinsk State University
Abstract:
For a finite simple group of twisted Lie type $^2E_6$, the description of chief factors of parabolic maximal subgroups contained in its unipotent radical is refined. The results are presented as a theorem, in which, for every parabolic maximal subgroup of the group $^2E_6(q^2)$, fragments of chief series contained in the unipotent radical of this parabolic subgroup are given. Generating elements and orders of the corresponding chief factors are presented in a table.
Keywords:
finite group of Lie type, parabolic subgroup, chief factor.
Received: 13.03.2014
Citation:
V. V. Korableva, “On chief factors of parabolic maximal subgroups of the groups $^2E_6(q^2)$”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 2, 2014, 230–237; Proc. Steklov Inst. Math. (Suppl.), 289, suppl. 1 (2015), 156–163
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https://www.mathnet.ru/eng/timm1072 https://www.mathnet.ru/eng/timm/v20/i2/p230
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Abstract page: | 279 | Full-text PDF : | 63 | References: | 55 | First page: | 6 |
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