Categories of Skew Left Braces and Trifactorised Groups

A. Ballester-Bolinches; R. Esteban-Romero; P. Pérez-Altarriba; V. Pérez-Calabuig

doi:10.1007/s40304-025-00465-2

Communications in Mathematics and Statistics ›› :1 -22. DOI: 10.1007/s40304-025-00465-2

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Categories of Skew Left Braces and Trifactorised Groups

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Abstract

The main objective of this paper is to deepen the relationship between skew left braces and trifactorised groups which encodes the information about skew left braces, their structure, their quotients, and their homomorphisms.

Keywords

Category / Skew left brace / Trifactorised group / 16T25 / 81R50 / 20C35 / 20C99 / 20D40

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A. Ballester-Bolinches, R. Esteban-Romero, P. Pérez-Altarriba, V. Pérez-Calabuig. Categories of Skew Left Braces and Trifactorised Groups. Communications in Mathematics and Statistics 1-22 DOI:10.1007/s40304-025-00465-2

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