3 papers
math.GR2024
Finite groups with some subgroups of prime power order satisfying the partial -property
Zhengtian Qiu, Adolfo Ballester-Bolinches
Let be a subgroup of a finite group . We say that satisfies the partial -property in if there exists a -chief series $ \varGamma_{G}: 1 =G_{0} < G_{1}…
math.GR2023
Soluble skew left braces and soluble solutions of the Yang-Baxter equation
Adolfo Ballester-Bolinches, Ramón Esteban-Romero, Paz Jiménez-Seral +1
The study of non-degenerate set-theoretic solutions of the Yang-Baxter equation calls for a deep understanding of the algebraic structure of a skew left brace. In this paper, the s…
math.GR2023
From actions of an abelian group on itself to left braces
Adolfo Ballester-Bolinches, Ramón Esteban-Romero, Leonid A. Kurdachenko +1
We present a construction of left braces of right nilpotency class at most two based on suitable actions of an abelian group on itself with an invariance condition. This constructi…