2013/12/18 by Bachiller, David, Cedo, Ferran
#16T25 #20B35 #81R50 #FOS: Mathematics #Group Theory (math.GR) #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.1312.5142
A new method to construct involutive non-degenerate set-theoretic solutions (Xn,r(n)) of the Yang-Baxter equation from an initial solution (X,r) is given. Furthermore, the permutation group G(Xn,r(n)) associated to the solution (Xn,r(n)) is isomorphic to a subgroup of G(X,r), and in many cases G(Xn,r(n))≅ G(X,r).