EVENT DETAILS AND ABSTRACT

Title: Normal amenable subgroups of automorphism groups of shifts of finite type
Speaker: Kitty Yang
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Abstract:

Let (X, sigma) be a transitive shift of finite type and let Aut(X) denote its automorphism group. We generalize a result of Frisch, Schlank, and Tamuz to show that any normal amenable subgroup of Aut(X) must be contained in the subgroup generated by the shift. We also show that the result does not extend to higher dimensions by giving an example of a two-dimensional mixing shift of finite type whose automorphism group is amenable and not generated by the shift maps.