Geodesic
On values of elements in partially ordered groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 3, pp. 199-212.

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We consider properties of convex directed subgroups for the interpolation groups in which each element is a quotient of two almost orthogonal elements. A series of results on values for almost orthogonal elements in those groups is obtained. We investigate characteristics of lexicographic extensions for partially ordered groups in which each element is a quotient of two almost orthogonal elements. 
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E. E. Shirshova. On values of elements in partially ordered groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 3, pp. 199-212. http://geodesic.mathdoc.fr/item/FPM_2013_18_3_a12/

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