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arxiv: 1808.09194 · v2 · pith:KWMGUMEDnew · submitted 2018-08-28 · 💻 cs.CC · math.DS· math.GR

Undecidable word problem in subshift automorphism groups

classification 💻 cs.CC math.DSmath.GR
keywords problemwordautomorphismdegreegroupssubshiftwhosearticle
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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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