Strongly aperiodic subshifts of finite type on hyperbolic groups

We prove that a hyperbolic group admits a strongly aperiodic subshift of finite type if and only if it has at most one end.

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Veröffentlicht in:Ergodic theory and dynamical systems 2022-09, Vol.42 (9), p.2740-2783
Hauptverfasser: COHEN, DAVID B., GOODMAN-STRAUSS, CHAIM, RIECK, YO’AV
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container_title Ergodic theory and dynamical systems
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creator COHEN, DAVID B.
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description We prove that a hyperbolic group admits a strongly aperiodic subshift of finite type if and only if it has at most one end.
doi_str_mv 10.1017/etds.2021.70
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subjects Lie groups
Original Article
Symmetry
title Strongly aperiodic subshifts of finite type on hyperbolic groups
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