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- W1937441396 abstract "It is well known that if $G$ admits a f.g. subgroup with a weaklyaperiodic SFT (resp. an undecidable domino problem), then $G$itself has a weakly aperiodic SFT (resp. an undecidable domino problem).We prove that we can replace the property $H$ is a subgroup of $G$by $H$ acts translation-like on $G$, provided is finitely presented.In particular:* If $G_1$ and $G_2$ are f.g. infinite groups, then $G_1 times G_2$ has a weakly aperiodic SFT (and actually a undecidable domino problem). In particular the Grigorchuk group has an undecidable domino problem. * Every infinite f.g. $p$-group admits a weakly aperiodic SFT." @default.
- W1937441396 created "2016-06-24" @default.
- W1937441396 creator A5020089810 @default.
- W1937441396 date "2015-08-25" @default.
- W1937441396 modified "2023-09-25" @default.
- W1937441396 title "Translation-like Actions and Aperiodic Subshifts on Groups" @default.
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