David Bachiller

most citedIterated matched products of finite braces and simplicity; new solutions of the Yang-Baxter equation

2 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.QA2016

Solutions of the Yang-Baxter equation associated to skew left braces, with applications to racks

David Bachiller

Given a skew left brace $B$ , a method is given to construct all the non-degenerate set-theoretic solutions $(X, r)$ of the Yang Baxter equation such that the associated permutation…

math.GR2016★ 2 cited

Iterated matched products of finite braces and simplicity; new solutions of the Yang-Baxter equation

D. Bachiller, F. Cedó, E. Jespers +1

Braces were introduced by Rump as a promising tool in the study of the set-theoretic solutions of the Yang-Baxter equation. It has been recently proved that, given a left brace $B$ …

math.GR2014★ 1 cited

Classification of braces of order $p^{3}$

David Bachiller

A classification up to isomorphism of all left braces of order $p^{3}$ , where $p$ is any prime number, is given. To this end, we first classify all the left braces of order $p$ and $…

Solutions of the Yang-Baxter equation associated to skew left braces, with applications to racks

Iterated matched products of finite braces and simplicity; new solutions of the Yang-Baxter equation

Classification of braces of order p3

Classification of braces of order $p^{3}$