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arXiv · 2602.22080

On a Cauchy theorem for finite skew braces

Marco Damele·Vicent Pérez Calabuig
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Abstract

One of the major problems in the structural theory of skew braces consists in the classification of skew braces of finite order up to isomorphism. In this light, the open question of the existence of a Cauchy theorem for finite skew braces is of great interest. We prove a positive answer for the classes of finite two-sided skew braces and bi-skew braces. Consequences and related structural results are also outlined.

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Marco Damele, Vicent Pérez Calabuig. 2026-02-25. On a Cauchy theorem for finite skew braces. https://arxiv.org/abs/2602.22080

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