We consider some recent results on the weak commutativity construction suggested by Said Sidki in 1980. By definition given a group G and an isomorphic copy H of it we can consider a new group X(G) that is a quotient of the free product of G and H by the normal closure of the the commutators [g,h] where h is the image of g in H and g runs through the elements of G. We will consider some recent results about the structure of X(G) due to Bridson-Kochloukova, Kochloukova-Sidki, Lima-Oliveira.
This video was produced by the Universidade de São Paulo, as part of the LieJor Online Seminar: Algebras, Representations, and Applications.
