Geodesic
Subgroups of the Chevalley groups and Lie rings definable by a collection of additive subgroups of the initial ring
Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 1, pp. 75-84
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The paper provides an overview of the authors' results on nets, carpets, elementary net subgroups, carpet subgroups, and carpet Lie rings. Some open questions are also formulated. 
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V. A. Koibaev; Ya. N. Nuzhin. Subgroups of the Chevalley groups and Lie rings definable by a collection of additive subgroups of the initial ring. Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 1, pp. 75-84. http://geodesic.mathdoc.fr/item/FPM_2013_18_1_a6/

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