Transfer theorems for Medvedev degrees via algebraic and geometric group relations produce classifications for SFTs on virtually polycyclic and branch groups and show nonzero degrees exist for hyperbolic plane quasi-isometries.
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Medvedev degrees of subshifts on groups
Transfer theorems for Medvedev degrees via algebraic and geometric group relations produce classifications for SFTs on virtually polycyclic and branch groups and show nonzero degrees exist for hyperbolic plane quasi-isometries.