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On Chief Factors of Parabolic Maximal Subgroups of the Group \({}^{2}F_{4}(2^{2n+1})\)

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Abstract

This study continues the author’s previous papers where a refined description of the chief factors of a parabolic maximal subgroup involved in its unipotent radical was obtained for all (normal and twisted) finite simple groups of Lie type except for the groups \({}^{2}F_{4}(2^{2n+1})\) and \(B_{l}(2^{n})\). In present paper, such a description is given for the group \({}^{2}F_{4}(2^{2n+1})\). We prove a theorem in which, for every parabolic maximal subgroup of \({}^{2}F_{4}(2^{2n+1})\), a fragment of the chief series involved in the unipotent radical of this subgroup is given. Generators of the corresponding chief factors are presented in a table.

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Authors and Affiliations

  1. Chelyabinsk State University, 454021, Chelyabinsk, Russia

    V. V. Korableva

  2. Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, 620108, Yekaterinburg, 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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Translated from Trudy Instituta Matematiki i Mekhaniki UrO RAN, Vol. 25, No. 4, pp. 99 - 106, 2019 https://doi.org/10.21538/0134-4889-2019-25-4-99-106.

Translated by E. Vasil’eva

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Korableva, V.V. On Chief Factors of Parabolic Maximal Subgroups of the Group \({}^{2}F_{4}(2^{2n+1})\). Proc. Steklov Inst. Math. 313 (Suppl 1), S133–S139 (2021). https://doi.org/10.1134/S0081543821030147

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