Arman Darbinyan

Subgroups of left-orderable groups

A recent advancement in the theory of left-orderable groups is the discovery of finitely generated left-orderable simple groups by Hyde and Lodha. We will discuss a construction that extends this result by showing that every countable left-orderable group is a subgroup of such a group. In conjunction with this construction, we will also discuss computability properties of left-orders in groups. Based on a joint work with M. Steenbock.