On the structure of the Automorphisms of the shift as a split extension
Collin Bleak (University of St. Andrews)
Tuesday 17th October, 2017 16:00-17:00 Seminar room 311B
We explore the structure of the group Aut((X_n)^Z,\sigma) of automorphisms of the two-sided shift on n letters, as a non-split extension of Z=<\sigma> by a group L_n of automata. We study properties of the action of L_n on (X_n)^Z, and approach (but do not yet solve!), some of the older questions known with respect to the group Aut(X_n^Z,\sigma). Joint with Peter Cameron and Feyishayo Olukoya.