University of Sydney Algebra Seminar

Jose Burillo (Universitat Politècnica de Catalunya)

Friday 21st August, 16.05-16.55pm, Carslaw 275 --- NOTE UNUSUAL TIME AND ROOM

Metric properties about the family of Thompson's groups

Thompson's groups have appeared in many areas of mathematics, and have attracted considerable attention, due to their striking properties. In this talk, I will give an introduction to the family of groups, and I will give some results relating to the word metric in their Cayley graphs. Recently, higher-dimensional analogs of these groups have been described by Brin, so I will present their structure, generating sets (finite and infinite), and metric properties as well.