3 citations · 7 across the 7 of their papers we have counts for
9 papers
Indecomposable solutions of the Yang-Baxter equation of square-free cardinality
Ferran Cedó, Jan Okniński
Indecomposable involutive non-degenerate set-theoretic solutions of the Yang-Baxter equation of cardinality , for different prime numbers ,…
Corrigendum and Addendum to "Structure monoids of set-theoretic solutions of the Yang--Baxter equation"
Ferran Cedó, Eric Jespers, Charlotte Verwimp
One of the results in our article, which appeared in Publ. Mat. 65 (2021), 499--528, is that the structure monoid of a left non-degenerate solution of the Yang-Bax…
New simple solutions of the Yang-Baxter equation and solutions associated to simple left braces
Ferran Cedó, Jan Okniński
Involutive non-degenerate set theoretic solutions of the Yang-Baxter equation are considered, with a focus on finite solutions. A rich class of indecomposable and irretractable sol…
Constructing finite simple solutions of the Yang-Baxter equation
Ferran Cedó, Jan Okniński
We study involutive non-degenerate set-theoretic solutions (X,r) of the Yang-Baxter equation on a finite set X. The emphasis is on the case where (X,r) is indecomposable, so the as…
On various types of nilpotency of the structure monoid and group of a set-theoretic solution of the Yang--Baxter equation
F. Cedó, E. Jespers, Ł. Kubat +2
Given a finite bijective non-degenerate set-theoretic solution of the Yang--Baxter equation we characterize when its structure monoid is Malcev nilpotent. Applying…
An abundance of simple left braces with abelian multiplicative Sylow subgroups
Ferran Cedó, Eric Jespers, Jan Okniński
Braces were introduced by Rump to study involutive non-degenerate set-theoretic solutions of the Yang-Baxter equation. A constructive method for producing all such finite solutions…
Asymmetric product of left braces and simplicity; new solutions of the Yang-Baxter equation
David Bachiller, Ferran Cedó, Eric Jespers +1
The problem of constructing all the non-degenerate involutive set-theoretic solutions of the Yang-Baxter equation recently has been reduced to the problem of describing all the lef…
Braces and symmetric groups with special conditions
Ferran Cedó, Tatiana Gateva-Ivanova, Agata Smoktunowicz
We study symmetric groups and left braces satisfying special conditions, or identities. We are particularly interested in the impact of conditions like and $\textbf…
On the Yang-Baxter equation and left nilpotent left braces
Ferran Cedó, Tatiana Gateva-Ivanova, Agata Smoktunowicz
We study non-degenerate involutive set-theoretic solutions (X,r) of the Yang-Baxter equation, we call them simply solutions. We show that the structure group G(X,r) of a finite non…