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

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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. 
@article{FPM_2009_15_7_a9,
     author = {G. S. Suleimanova},
     title = {On conjugacy in {a~Chevalley} group of large {Abelian} subgroups of the unipotent subgroup},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {205--216},
     publisher = {mathdoc},
     volume = {15},
     number = {7},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2009_15_7_a9/}
}
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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/