2 citations · 5 across the 4 of their papers we have counts for
4 papers · 2 filters
Extensions, matched products, and simple braces
David Bachiller
We show how to construct all the extensions of left braces by ideals with trivial structure. This is useful to find new examples of left braces. But, to do so, we must know the bas…
A family of irretractable square-free solutions of the Yang-Baxter equation
David Bachiller, Ferran Cedo, Eric Jespers +1
A new family of non-degenerate involutive set-theoretic solutions of the Yang-Baxter equation is constructed. All these solutions are strong twisted unions of multipermutation solu…
Counterexample to a conjecture about braces
David Bachiller
We find an example of a finite solvable group (in fact, a finite -group) without any left brace structure (equiv. which is not an IYB group). Our argument is an improvement of a…
Solutions of the Yang-Baxter equation associated with a left brace
David Bachiller, Ferran Cedo, Eric Jespers
Given a left brace , a method to construct all the involutive, non-degenerate set-theoretic solutions of the YBE, such that is given. This meth…