Groups and Dynamics Seminar

Date: August 20, 2014

Time: 3:00PM - 4:00PM

Location: BLOC 624

Speaker: Dmytro Savchuk, University of South Florida

Title: Orbit automata as a new tool to attack finiteness problem for automaton groups

Abstract: We introduce a new tool, called the orbit automaton, that describes the action of an automaton group G on the subtrees corresponding to the orbits of G on levels of the tree. In particular, we provide the connection between G and the group generated by the orbit automaton and use it to deduce infiniteness of some automaton groups for which other methods did not work. This is a joint work with Ines Klimann and Matthieu Picantin.