Monday, April 19, 2021
12:00 PM -
1:00 PM
Online Event
Logic Seminar
Series: Logic Seminar Series
A characterization of high transitivity for groups acting on trees
A countable group is highly transitive if it admits an embedding in the permutation group of the integers with dense image. I will present a joint work with Pierre Fima, Soyoung Moon and Yves Stalder where we show that a large class of groups acting on trees are highly transitive, which yields a characterization of high transitivity for groups admitting a minimal faithful action of general type on a tree thanks to the work of Le Boudec and Matte Bon. Our proof is new even for the free group on two generators and I will give a detailed overview in this very particular case, showing that the generic transitive action of the free group on two generators is highly transitive.
Event Sponsors:
For more information, please email A. Kechris at [email protected].