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• W2517833287 abstract "We consider the structure group of a non-degenerate symmetric (non-trivial) set-theoretical solution of the quantum Yang–Baxter equation. This is a Bieberbach group and also a Garside group. We show this group is not bi-orderable, that is it does not admit a total order which is invariant under left and right multiplications. Regarding the existence of a left invariant total ordering, there is a great diversity. There exist structure groups with a recurrent left order and with space of left orders homeomorphic to the Cantor set, while there exist others that are even not unique product groups." @default.
• W2517833287 created "2016-09-16" @default.
• W2517833287 creator A5036829502 @default.
• W2517833287 date "2016-11-01" @default.
• W2517833287 modified "2023-09-23" @default.
• W2517833287 title "Left orders in Garside groups" @default.
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• W2517833287 doi "https://doi.org/10.1142/s0218196716500570" @default.
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