Add to ORKGIn the first part of this paper, we investigate the retraction of finite uniconnected involutive non-degenerate set-theoretic solutions of the Yang-Baxter equation by means of left braces, giving a precise description in some cases. In the core of the paper, we also use left braces to classify all the uniconnected involutive non-degenerate set-theoretic solutions having odd size and a Z-group permutation group. As an application, we classify all the uniconnected involutive non-degenerate solutions having odd square-free size.Comment: 16 pages, comments are welcome. Now, there is no restriction on the multipermutation level. Accepted on IMR
In this work, we develop a novel construction technique for set-theoretical solutions of the Yang-Ba...
Using Bieberbach groups, we study multipermutation involutive solutions to the Yang-Baxter equation....
In this note we find new set-theoretic solutions of the Yang-Baxter equation through almost left sem...
In this paper, we study the class of indecomposable involutive solutions of the Yang-Baxter equation...
Braces were introduced by Rump to study non-degenerate involutive set-theoretic solutions of the Yan...
We produce novel non-involutive solutions of the Yang-Baxter equation coming from (skew) braces. The...
We discuss some recent results on the link between group theory and set theoretic involutive non-deg...
We give a complete characterization of all indecomposable involutive solutions of the Yang-Baxter eq...
In analogy with non-degenerate involutive set-theoretic solutions of the Yang-Baxter equation and br...
We prove that a finite non-degenerate involutive set-theoretic solution (X, r) of the Yang-Baxter eq...
This is a survey on the theory of left braces, an algebraic structure introduced by Rump as a genera...
A new family of non-degenerate involutive set-theoretic solutions of the Yang-Baxter equation is con...
We use Constraint Satisfaction methods to enumerate and construct set-theoretic solutions to the Yan...
Braces are generalizations of radical rings, introduced by Rump to study involutive non-degenerate s...
We develop a theory of extensions for involutive and nondegenerate solutions of the set-theoretic Ya...
In this work, we develop a novel construction technique for set-theoretical solutions of the Yang-Ba...
Using Bieberbach groups, we study multipermutation involutive solutions to the Yang-Baxter equation....
In this note we find new set-theoretic solutions of the Yang-Baxter equation through almost left sem...
In this paper, we study the class of indecomposable involutive solutions of the Yang-Baxter equation...
Braces were introduced by Rump to study non-degenerate involutive set-theoretic solutions of the Yan...
We produce novel non-involutive solutions of the Yang-Baxter equation coming from (skew) braces. The...
We discuss some recent results on the link between group theory and set theoretic involutive non-deg...
We give a complete characterization of all indecomposable involutive solutions of the Yang-Baxter eq...
In analogy with non-degenerate involutive set-theoretic solutions of the Yang-Baxter equation and br...
We prove that a finite non-degenerate involutive set-theoretic solution (X, r) of the Yang-Baxter eq...
This is a survey on the theory of left braces, an algebraic structure introduced by Rump as a genera...
A new family of non-degenerate involutive set-theoretic solutions of the Yang-Baxter equation is con...
We use Constraint Satisfaction methods to enumerate and construct set-theoretic solutions to the Yan...
Braces are generalizations of radical rings, introduced by Rump to study involutive non-degenerate s...
We develop a theory of extensions for involutive and nondegenerate solutions of the set-theoretic Ya...
In this work, we develop a novel construction technique for set-theoretical solutions of the Yang-Ba...
Using Bieberbach groups, we study multipermutation involutive solutions to the Yang-Baxter equation....
In this note we find new set-theoretic solutions of the Yang-Baxter equation through almost left sem...