![]() A definitive version was subsequently published in Indagationes mathematicae, 5/4, 1994, 10. Changes may have been made to this work since it was submitted for publication. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. NOTICE: this is the author’s version of a work that was accepted for publication in Indagationes mathematicae. ![]() For a mixing shift of nite type, the associated automorphism group has a rich algebraic structure, and yet we have few criteria to distin-guish when two such groups are isomorphic. This subshift has periodic-point permutations that do not extend to automorphisms. THE STABILIZED AUTOMORPHISM GROUP OF A SUBSHIFT YAIR HARTMAN, BRYNA KRA, AND SCOTT SCHMIEDING Abstract. It will focus on algebraic and dynamical invariants such as group automorphisms. For an example of a topologically mixing Z^2-subshift of finite type, the endomorphism semigroup and automorphism group are computed explicitly. Algebraic and Combinatorial Invariants of Subshifts and Tilings. For Z^d-subshifts of finite type without strong specification, examples show that topological mixing is not sufficient to give any finite group in the automorphism group in general: in particular, End(S) may be an abelian semigroup. ![]() Under a strong irreducibility condition (strong specification), we show that Aut(S) contains any finite group. Let (S,s) be a Z^d-subshift of finite type. For a mixing shift of finite type, the associated automorphism group has a rich algebraic structure, and yet we have few criteria to distinguish when two. ![]()
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