Geodesic
Subgroups, of Chevalley Groups over a Locally Finite Field, Defined by a Family of Additive Subgroups
Matematičeskie zametki, Tome 102 (2017) no. 6, pp. 857-865.

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that every elementary carpet of nonzero additive subgroups which is associated with a Chevalley group of a Lie rank exceeding one over a locally finite field coincides, up to conjugation by a diagonal element, with a carpet whose additive subgroups are equal to some chosen subfield of the ground field. A similar result is obtained for a full matrix carpet (a full net).
Keywords: elementary carpet, Chevalley group, carpet subgroup. 
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V. A. Koibaev; S. K. Kuklina; A. O. Likhacheva; Ya. N. Nuzhin. Subgroups, of Chevalley Groups over a Locally Finite Field, Defined by a Family of Additive Subgroups. Matematičeskie zametki, Tome 102 (2017) no. 6, pp. 857-865. http://geodesic.mathdoc.fr/item/MZM_2017_102_6_a6/

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