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. 
@article{MZM_2017_102_6_a6,
     author = {V. A. Koibaev and S. K. Kuklina and A. O. Likhacheva and Ya. N. Nuzhin},
     title = {Subgroups, of {Chevalley} {Groups} over a {Locally} {Finite} {Field,} {Defined} by a {Family} of {Additive} {Subgroups}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {857--865},
     publisher = {mathdoc},
     volume = {102},
     number = {6},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_102_6_a6/}
}
TY  - JOUR
AU  - V. A. Koibaev
AU  - S. K. Kuklina
AU  - A. O. Likhacheva
AU  - Ya. N. Nuzhin
TI  - Subgroups, of Chevalley Groups over a Locally Finite Field, Defined by a Family of Additive Subgroups
JO  - Matematičeskie zametki
PY  - 2017
SP  - 857
EP  - 865
VL  - 102
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2017_102_6_a6/
LA  - ru
ID  - MZM_2017_102_6_a6
ER  - 
%0 Journal Article
%A V. A. Koibaev
%A S. K. Kuklina
%A A. O. Likhacheva
%A Ya. N. Nuzhin
%T Subgroups, of Chevalley Groups over a Locally Finite Field, Defined by a Family of Additive Subgroups
%J Matematičeskie zametki
%D 2017
%P 857-865
%V 102
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2017_102_6_a6/
%G ru
%F MZM_2017_102_6_a6
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/