Geodesic
Two-dimensionally ordered groups
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2011), pp. 5-8

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It is proved that the set of elements of order two in a two-ordered group is a normal subgroup.
Keywords: 2-dimensional order, 2-ordered group, realization of a two-ordered set, two-order projection to a straight line. 
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A. I. Zabarina; G. G. Pestov. Two-dimensionally ordered groups. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2011), pp. 5-8. http://geodesic.mathdoc.fr/item/VTGU_2011_1_a0/