EVENT DETAILS AND ABSTRACT

Title: On automorphisms of the Higman groups G_{n,r} and of the full one sided shift on n-letters
Speaker: Collin Bleak
Speaker Info: University of St Andrews
Brief Description:
Special Note:
Abstract:

We prove that the group Aut(G_{n,r}) of automorphisms of a Higman-Thompson group G_{n,r} is given as a group of homeomorphisms realisable via finite bijective transducers a-la Grigorchuk, Nekrashevych, and Suschanskii. We embed Out(G_{n,r}), the group of outer automorphisms, as a group of automorphisms of the full shift on n-letters, and show (as suggested by Hubbard), that a specific subgroup is isomorphic to the group of automorphisms of the one-sided full shift on n letters. Along the way, we will pass through the beautiful land of De Bruijn automorphisms. Summary of two projects; joint with Yonah Maissel and Andres Navas, and separately, joint with Peter Cameron.