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- W2891264593 abstract "It is known that a group shift on a polycyclic group is necessarily of finite type. We show that, for trivial reasons, if a group does not satisfy the maximal condition on subgroups, then it admits non-SFT abelian group shifts. In particular, we show that if group is elementarily amenable or satisfies the Tits alternative, then it is virtually polycyclic if and only if all its group shifts are of finite type. Our theorems are minor elaborations of results of Schmidt and Osin." @default.
- W2891264593 created "2018-09-27" @default.
- W2891264593 creator A5014389348 @default.
- W2891264593 date "2018-07-05" @default.
- W2891264593 modified "2023-09-27" @default.
- W2891264593 title "When are group shifts of finite type" @default.
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