We prove that a finite non-degenerate involutive set-theoretic solution (X, r) of the Yang-Baxter equation is a multipermutation solution if and only if its structure group G(X, r) admits a left ordering or equivalently it is poly-Z
We develop new machinery for producing decomposability tests for involutive solutions to the Yang-Ba...
We describe the indecomposable involutive non-degenerate set-theoretic solutions of the Yang–Baxter ...
This paper aims to introduce a construction technique of set-theoretic solutions of the Yang-Baxter ...
We prove that a finite non-degenerate involutive set-theoretic solution (X, r) of the Yang-Baxter eq...
We prove that a finite non-degenerate involutive set-theoretic solution (X, r) of the Yang–Baxter eq...
Given a finite bijective non-degenerate set-theoretic solution $(X,r)$ of the Yang--Baxter equation ...
In analogy with non-degenerate involutive set-theoretic solutions of the Yang-Baxter equation and br...
New constructions of braces on finite nilpotent groups are given and hence this leads to new solutio...
We involve simultaneously the theory of braided groups and the theory of braces to study set-theoret...
In the first part of this paper, we investigate the retraction of finite uniconnected involutive non...
Using Bieberbach groups, we study multipermutation involutive solutions to the Yang-Baxter equation....
Given a set-theoretic solution (X, r) of the Yang-Baxter equation, we denote by M = M(X, r) the stru...
[EN] A group G is said to be an involutive Yang¿Baxter group, or simply an IYB-group, if it is isomo...
Building on a result by W. Rump, we show how to exploit the right-cyclic law (x.y).(x.z) = (y.x).(y....
If $(X,r)$ is a finite non-degenerate set-theoretic solution of the Yang--Baxter equation, the addit...
We develop new machinery for producing decomposability tests for involutive solutions to the Yang-Ba...
We describe the indecomposable involutive non-degenerate set-theoretic solutions of the Yang–Baxter ...
This paper aims to introduce a construction technique of set-theoretic solutions of the Yang-Baxter ...
We prove that a finite non-degenerate involutive set-theoretic solution (X, r) of the Yang-Baxter eq...
We prove that a finite non-degenerate involutive set-theoretic solution (X, r) of the Yang–Baxter eq...
Given a finite bijective non-degenerate set-theoretic solution $(X,r)$ of the Yang--Baxter equation ...
In analogy with non-degenerate involutive set-theoretic solutions of the Yang-Baxter equation and br...
New constructions of braces on finite nilpotent groups are given and hence this leads to new solutio...
We involve simultaneously the theory of braided groups and the theory of braces to study set-theoret...
In the first part of this paper, we investigate the retraction of finite uniconnected involutive non...
Using Bieberbach groups, we study multipermutation involutive solutions to the Yang-Baxter equation....
Given a set-theoretic solution (X, r) of the Yang-Baxter equation, we denote by M = M(X, r) the stru...
[EN] A group G is said to be an involutive Yang¿Baxter group, or simply an IYB-group, if it is isomo...
Building on a result by W. Rump, we show how to exploit the right-cyclic law (x.y).(x.z) = (y.x).(y....
If $(X,r)$ is a finite non-degenerate set-theoretic solution of the Yang--Baxter equation, the addit...
We develop new machinery for producing decomposability tests for involutive solutions to the Yang-Ba...
We describe the indecomposable involutive non-degenerate set-theoretic solutions of the Yang–Baxter ...
This paper aims to introduce a construction technique of set-theoretic solutions of the Yang-Baxter ...
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