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On the Chief Factors of Parabolic Maximal Subgroups of Special Finite Simple Groups of Exceptional Lie Type

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Abstract

Considering the finite simple groups F4(2n) and G2(pn), where p ≤ 3, we give a description of the chief factors of a parabolic maximal subgroup involved in its unipotent radical. For every parabolic maximal subgroup of the groups F4(2n), G2(2n), and G2(3n), we give the fragment of its chief series that involves in the unipotent radical of this parabolic subgroup. The generators of the corresponding chief factors are presented in three tables.

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Authors and Affiliations

  1. Chelyabinsk State University, Chelyabinsk, Russia

    V. V. Korableva

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  1. V. V. Korableva
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Correspondence to V. V. Korableva.

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Original Russian Text Copyright © 2017 Korableva V.V.

The author was supported by the Laboratory of Quantum Topology of Chelyabinsk State University (Grant 14.Z50.31.0020 of the Government of the Russian Federation).

Chelyabinsk. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 58, No. 6, pp. 1332–1340, November–December, 2017

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Korableva, V.V. On the Chief Factors of Parabolic Maximal Subgroups of Special Finite Simple Groups of Exceptional Lie Type. Sib Math J 58, 1034–1041 (2017). https://doi.org/10.1134/S003744661706012X

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  • DOI: https://doi.org/10.1134/S003744661706012X

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