TORSION-FREE GROUPS OF FINITE-STATE AUTOMATA

Andrew Brunner
(University of Wisconsin-Parkside )

ABSTRACT. Groups of finite-state automorphisms of the one-rooted binary tree will be considered. Within this context, (finite) 2-groups occur very naturally, as well as infinite Burnside groups. Progress in the construction of various torsion-free groups of finite-state automata will be discussed. EVERYONE WELCOME!