60 citations · 92 across the 16 of their papers we have counts for
21 papers
New classes of IYB groups
Ferran Cedo, Jan Okninski
It is proven that every finite group of odd order with all Sylow subgroups of nilpotency class at most two is an involutive Yang-Baxter group (IYB group for short), i.e. it admits…
Simple solutions of the Yang-Baxter equation of cardinality
Ferran Cedo, Jan Okninski
For every prime number p and integer , a simple, involutive, non-degenerate set-theoretic solution ) of the Yang-Baxter equation of cardinality is constructe…
New simple solutions of the Yang--Baxter equation and their permutation groups
Ferran Cedo, Jan Okninski
A new class of indecomposable, irretractable, involutive, non-degenerate set-theoretic solutions of the Yang--Baxter equation is constructed. This class complements the class of su…
Every finite abelian group is a subgroup of the additive group of a finite simple left brace
F. Cedo, E. Jespers, J. Okninski
Left braces, introduced by Rump, have turned out to provide an important tool in the study of set theoretic solutions of the quantum Yang-Baxter equation. In particular, they have…
Structure monoids of set-theoretic solutions of the Yang-Baxter equation
Ferran Cedo, Eric Jespers, Charlotte Verwimp
Given a set-theoretic solution of the Yang--Baxter equation, we denote by the structure monoid and by , respectively , the left, respective…
Set-theoretic solutions of the Yang--Baxter equation, associated quadratic algebras and the minimality condition
F. Cedo, E. Jespers, J. Okninski
Given a finite non-degenerate set-theoretic solution of the Yang-Baxter equation and a field , the structure -algebra of is $A=A(K,X,r)=K\langle X\mid xy=uv \…