7 citations · 12 across the 18 of their papers we have counts for
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Central nilpotency of left skew braces and solutions of the Yang-Baxter equation
Adolfo Ballester-Bolinches, Ramón Esteban-Romero, Maria Ferrara +2
Nipotency of skew braces is related to certain types of solutions of the Yang-Baxter equation. This paper delves into the study of centrally nilpotent skew braces. In particular, w…
Joins of -subnormal subgroups
Maria Ferrara, Marco Trombetti
Let be a partition of the set of all prime numbers. A subgroup of a finite group is~\textit{-subnormal} in if there exists a cha…
A note on right-nil and strong-nil skew braces
Adolfo Ballester-Bolinches, Maria Ferrara, Vicent Pérez-Calabuig +1
The aim of this short note is to completely answer Questions 2.34 and 2.35 of arXiv:1806.01127. In particular, we show that a finite strong-nil skew brace of abelian type need…
The structure skew brace associated with a finite non-degenerate solution of the Yang-Baxter equation is finitely presented
Marco Trombetti
The aim of this paper is to show that the structure skew brace associated with a finite non-degenerate solution of the Yang-Baxter equation is finitely presented.