On Chief Factors of Parabolic Maximal Subgroups of the Group $^2F_4(2^{2n+1})$

V. V. Korableva

Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 25 (2019) no. 4, pp. 99-106

Résumé

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 $^2F_4(2^{2n+1})$ and $B_l(2^n)$. In present paper, such a description is given for the group $^2F_4(2^{2n+1})$. We prove a theorem in which, for every parabolic maximal subgroup of $^2F_4(2^{2n+1})$, 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.

Détail

Keywords: finite simple group, group of Lie type, parabolic maximal subgroup, chief factor, strong version of the Sims conjecture.
Mots-clés : unipotent radical

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