The normal structure of the unipotent subgroup in Lie type groups and its extremal subgroups

V. M. Levchuk ; G. S. Suleimanova

Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 1, pp. 155-168.

Résumé

We study the normal structure of the unipotent radical $U$ of a Borel subgroup in a Lie type group over a field $K$. Thus, all maximal Abelian normal subgroups in $U$ are described. This gives a new solution of C. Parker and P. Rowley's problem about extremal subgroups in $U$ and the description in finite groups $U$ of the large normal (and, as proved, also normal large) Abelian subgroups.

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