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math.GR2025
On products of abelian skew braces
A. Ballester-Bolinches, R. Esteban-Romero, P. Pérez-Altarriba
The main objective of this paper is to study factorisations of skew left braces through abelian subbraces. We prove a skew brace theoretical analog of the classical Itô's theorem a…
math.GR2025
Categories of skew left braces and trifactorised groups
A. Ballester-Bolinches, R. Esteban-Romero, P. Pérez-Altarriba +1
The main objective of this paper is to deepen the relationship between skew left braces and trifactorised groups that encodes the information about skew left braces, their structur…