8 citations · 17 across the 22 of their papers we have counts for
6 papers · 1 filter
On polynomials that are not quite an identity on an associative algebra
Eric Jespers, David Riley, Mayada Shahada
Let be a polynomial in the free algebra over a field , and let be a -algebra. We denote by , $\A_A(f)$ and $\I_A(f)$, respectively, the `verbal' subspace, sub…
The structure monoid and algebra of a non-degenerate set-theoretic solution of the Yang-Baxter equation
Eric Jespers, Łukasz Kubat, Arne Van Antwerpen
For a finite involutive non-degenerate solution of the Yang--Baxter equation it is known that the structure monoid is a monoid of I-type, and the structure algebra…
A dichotomy for integral group rings via higher modular groups as amalgamated products
Andreas Bächle, Geoffrey Janssens, Eric Jespers +2
We show that , the unit group of the integral group ring , either satisfies Kazhdan's property (T) or is, up to commensurability, a non-triv…
Abelianization and fixed point properties of units in integral group rings
Andreas Bächle, Geoffrey Janssens, Eric Jespers +2
Let be a finite group and the unit group of the integral group ring . We prove a unit theorem, namely a characterization of when $\ma…
An abundance of simple left braces with abelian multiplicative Sylow subgroups
Ferran Cedó, Eric Jespers, Jan Okniński
Braces were introduced by Rump to study involutive non-degenerate set-theoretic solutions of the Yang-Baxter equation. A constructive method for producing all such finite solutions…
Left semi-braces and solutions to the Yang-Baxter equation
Eric Jespers, Arne Van Antwerpen
Let be a set-theoretic solution of the Yang-Baxter equation on a finite set . It was proven by Gateva-Ivanova and Van den Bergh that if is non-deg…