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math.QA2021
Classification of uniconnected involutive solutions of the Yang-Baxter equation with odd size and a Z-group permutation group
Marco Castelli
In the first part of this paper, we investigate the retraction of finite uniconnected involutive non-degenerate set-theoretic solutions of the Yang-Baxter equation by means of left…
math.QA2021
Simplicity and finite primitive level of indecomposable set-theoretic solutions of the Yang-Baxter equation
Marco Castelli, Marzia Mazzotta, Paola Stefanelli
This paper aims to deepen the theory of bijective non-degenerate set-theoretic solutions of the Yang-Baxter equation, not necessarily involutive, by means of q-cycle sets. We entir…