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.RA2020
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…