3 papers
math.GR2025
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…
math.QA2024
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…
math.QA2024
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…