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.

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