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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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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DOI: https://doi.org/10.1134/S0081543821030147