On the geometry of $n$-ordered groups
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2007), pp. 46-49 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
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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/

[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