Geodesic
On the geometry of $n$-ordered groups
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2007), pp. 46-49 
G. G. Pestov; A. A. Tobolkin. On the geometry of $n$-ordered groups. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2007), pp. 46-49. http://geodesic.mathdoc.fr/item/VTGU_2007_1_a5/
@article{VTGU_2007_1_a5,
     author = {G. G. Pestov and A. A. Tobolkin},
     title = {On the geometry of $n$-ordered groups},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {46--49},
     year = {2007},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2007_1_a5/}
}
TY  - JOUR
AU  - G. G. Pestov
AU  - A. A. Tobolkin
TI  - On the geometry of $n$-ordered groups
JO  - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
PY  - 2007
SP  - 46
EP  - 49
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/VTGU_2007_1_a5/
LA  - ru
ID  - VTGU_2007_1_a5
ER  - 
%0 Journal Article
%A G. G. Pestov
%A A. A. Tobolkin
%T On the geometry of $n$-ordered groups
%J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
%D 2007
%P 46-49
%N 1
%U http://geodesic.mathdoc.fr/item/VTGU_2007_1_a5/
%G ru
%F VTGU_2007_1_a5

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

Bases of a linear finite-dimensional space are described which could be built from the elements of two disjoint bases. A countable set of 4-dimensional ordered groups is constructed.

[1] Pestov G.G., “$n$-uporyadochennye mnozhestva”, Trudy Irkut. gos. un-ta, 74:6, 146–169

[2] Zabarina A.I., Pestov G.G., “Ob $n$-merno uporyadochennykh gruppakh”, Vestnik TGU, 2003, no. 280, 40–43

[3] Kokorin A.I., Kopytov V.M., Lineino uporyadochennye gruppy, Nauka, M., 1972 | Zbl

[4] Świerczkowski S., “On cyclically ordered groups”, Fund. Math., 47 (1959), 161–166 | MR | Zbl

[5] Zabarina A.I., Pestov G.G., “O kriterii tsiklicheskoi uporyadochivaemosti gruppy”, Uporyadochennye mnozhestva i reshetki, Mezhvuz. nauch. sb., 9, Izd-vo Sarat. un-ta, Saratov, 1986, 19–24

[6] Tobolkin A.A., “Teorema o multiplikativnoi gruppe kvaternionov”, Aktualnye problemy matematiki i metodiki eë prepodavaniya, Materialy zaochnoi Vserossiiskoi nauchno-prakticheskoi konferentsii, Izd-vo Tom. gos. ped. un-ta, Tomsk, 2007, 21–32