By Ronnie Pavlov and Scott Schmieding

We prove that for any transitive subshift *X* with word complexity function *c_n(X)*, if *\liminf \frac{\log (c_n(X)/n)}{\log \log \log n} = 0*, then the quotient group *\textrm{Aut}(X,\sigma) / \langle \sigma\rangle* of the automorphism group of *X* by the subgroup generated by the shift *\sigma* is locally finite. We prove that... Show more

July 13, 2021

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Local finiteness and automorphism groups of low complexity subshifts

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