Geodesic
Extraction of small rank unipotent elements in $\mathrm{GL}(4,K)$
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 35, Tome 492 (2020), pp. 134-148 
V. V. Nesterov. Extraction of small rank unipotent elements in $\mathrm{GL}(4,K)$. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 35, Tome 492 (2020), pp. 134-148. http://geodesic.mathdoc.fr/item/ZNSL_2020_492_a9/
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     author = {V. V. Nesterov},
     title = {Extraction of small rank unipotent elements in $\mathrm{GL}(4,K)$},
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     pages = {134--148},
     year = {2020},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2020_492_a9/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

In the present paper we prove that in the group $\mathrm{GL}(4,K)$ over the field which has at least 19 elements the subgroup generated by a pair of 2-tori contains unipotent elements of rank 1 or 2. Keeping in mind the papers of N.A. Vavilov and author this result is valid for any general linear group. This paper is one of the first step of studying of the subgroups generated by a pair of microweight tori in Chevalley groups.

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