Representations of finite skew braces

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

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arXiv · 2606.24787

Representations of finite skew braces

A Ballester-Bolinches·R. Esteban-Romero·P. Pérez-Altarriba

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Abstract

One of the classical open problems in the theory of skew left braces is the study of their representation theory. We propose in this paper a definition of representation of a skew left brace and study its properties. Representations of the trifactorised groups associated with skew left braces play a fundamental role.

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A Ballester-Bolinches, R. Esteban-Romero, P. Pérez-Altarriba. 2026-06-23. Representations of finite skew braces. https://arxiv.org/abs/2606.24787

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