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1.41 (1965)

Solved

A subgroup of a linearly orderable group is called relatively convex if it is convex with respect to some linear ordering of the group. Under what conditions is a subgroup of an orderable group relatively convex?

Contributor: A. I. Kokorin

Progress

Necessary and sufficient conditions are given in (A. I. Kokorin, V. M. Kopytov, Fully ordered groups, John Wiley, New York, 1974).

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