Groups and Dynamics Seminar

Date: February 5, 2020

Time: 3:00PM - 4:00PM

Location: BLOC 220

Speaker: Arman Darbinyan, TAMU

Title: Subgroups of left-orderable simple groups

Abstract: Answering an old question of Rhemtulla, Hyde and Lodha (and later, Matte Bon and Triestino) showed the existence of finitely generated left-orderable simple groups. I will discuss how to extend the result of Hyde and Lodha to show that any countable left-orderable group is a subgroups of a finitely generated left-orderable simple group. Certain computability aspects will also be discussed. Based on a joint work with M.Steenbock.