Solutions of the Yang-Baxter equation associated with a left brace

2015/03/10 by Bachiller, David, Cedo, Ferran, Jespers, Eric · 1 citation
#16T25 (Primary) #20B30 #81R50 (Secondary) #FOS: Mathematics #Group Theory (math.GR) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1503.02814

Abstract

Given a left brace G, a method to construct all the involutive, non-degenerate set-theoretic solutions (Y,s) of the YBE, such that G(Y,s)≅ G is given. This method depends entirely on the brace structure of G.

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• Finite groups in which every proper characteristic subgroup is cyclic

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