Geodesic
On conjugacy in a Chevalley group of large Abelian subgroups of the unipotent subgroup
Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 7, pp. 205-216 
G. S. Suleimanova. On conjugacy in a Chevalley group of large Abelian subgroups of the unipotent subgroup. Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 7, pp. 205-216. http://geodesic.mathdoc.fr/item/FPM_2009_15_7_a9/
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     title = {On conjugacy in {a~Chevalley} group of large {Abelian} subgroups of the unipotent subgroup},
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Voir la notice de l'article provenant de la source Math-Net.Ru

Let $U$ be the unipotent subgroup of a Chevalley group over a finite field. The well-known problem about describing the set of “large” (of maximal order) Abelian subgroups in $U$ of exceptional type is investigated. The description of normal large Abelian subgroups in $U$ was established earlier. It is proved that each large Abelian subgroup from $U$ is conjugate in the Chevalley group of type $F_4$ over a finite field of characteristic not equal to 2 to a normal subgroup in $U$. It is shown that for the groups $U$ of type $G_2$ and $^3D_4$ the similar conclusion is not true.

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