Geodesic
Elementary nets in linear groups
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 4, pp. 134-141

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For an elementary net (a net without diagonal) of additive subgroups of an arbitrary commutative ring, we define a derivative net, the closure of the net, and a net associated with the elementary group. A factorization of the elementary group is presented and used to construct an example of a closed (admissible) net that cannot completed to the (complete) net.
Mots-clés : net, net group, transvection.
Keywords: elementary net, closed net, elementary group 
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     author = {V. A. Koibaev},
     title = {Elementary nets in linear groups},
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V. A. Koibaev. Elementary nets in linear groups. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 4, pp. 134-141. http://geodesic.mathdoc.fr/item/TIMM_2011_17_4_a14/