Geodesic
On the normalizer of a~unipotent root subgroup in Chevalley group
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 30, Tome 452 (2016), pp. 195-201

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In the present paper we calculate the normalizer of a unipotent short and long root subgroup in Chevalley group over an arbitrary field in detail. We sure that this result is known specialists. However we could not find a reference to it. 
@article{ZNSL_2016_452_a9,
     author = {V. V. Nesterov},
     title = {On the normalizer of a~unipotent root subgroup in {Chevalley} group},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {195--201},
     publisher = {mathdoc},
     volume = {452},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2016_452_a9/}
}
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V. V. Nesterov. On the normalizer of a~unipotent root subgroup in Chevalley group. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 30, Tome 452 (2016), pp. 195-201. http://geodesic.mathdoc.fr/item/ZNSL_2016_452_a9/