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Undecidable word problem in subshift automorphism groups

Published 28 Aug 2018 in cs.CC, math.DS, and math.GR | (1808.09194v2)

Abstract: This article studies the complexity of the word problem in groups of automorphisms of subshifts. We show in particular that for any Turing degree, there exists a subshift whose automorphism group contains a subgroup whose word problem has exactly this degree.

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