Interval orders, semiorders and ordered groups

We describe ordered groups such that the ordering is a semiorder and we introduce threshold groups generalizing totally ordered groups. We show that the free group on finitely many generators and the Thompson group F can be equipped with a compatible semiorder which is not a weak order. On another hand, a group introduced by Clifford cannot.

Source: Journal of Mathematical Psychology - February 7, 2019 Category: Psychiatry & Psychology Source Type: research