|Date:||Wed, April 19, 2017|
|Place:||Research I Seminar Room|
Abstract: Given a preperiodic kneading sequence in the integers, we introduce a finitely generated group acting on a Z-ary tree and study the Orbital Schreier Graphs of the action on the ends of the tree. We will show that every connected component of these graphs are (after deleting simple loops) trees with countable many ends. We relate this to extensive ameanablity and continue to prove that the Infinitary Fabrykowski-Gupta group is amenable.