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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2014 Volume 20, Number 2, Pages 230–237 (Mi timm1072)

This article is cited 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.

UDC: 512.542.5

Received: 13.03.2014


 English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2015, 289, suppl. 1, 156–163

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