Automorphisms of one-sided subshifts of finite type

Author:

Boyle Mike,Franks John,Kitchens Bruce

Abstract

AbstractWe prove that the automorphism group of a one-sided subshift of finite type is generated by elements of finite order. For one-sided full shifts we characterize the finite subgroups of the automorphism group. For one-sided subshifts of finite type we show that there are strong restrictions on the finite subgroups of the automorphism group.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference12 articles.

1. [BDK] Blanchard P. , Devaney R. & Keen L. . The dynamics of complex polynomials and automorphisms of the shift, preprint.

2. Endomorphisms and automorphisms of the shift dynamical system

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4. Markov partitions and K2

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