ON FINITELY DETERMINED TOTAL ORDERS
In an orderable group G, a total order with its positive cone P is said to be finitely determined if there is a nonempty finite subset A of P suchthat P is the only positive cone of total order on G containing A. In this paper we consider finitely determined total orders and the number of total orders on several classes of orderable groups.
total orders, orderable groups, convex subgroups, finitely determined, finite rank.
