### Subgroups of left-orderable groups

Algebra Seminar

27th October 2021, 2:30 pm – 3:30 pm

Fry Building, Room G.11 and Zoom

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.

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