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arXiv · 2606.29295

A Schur--Zassenhaus Theorem for Finite Skew Braces

Marco Damele
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Abstract

We prove a Schur--Zassenhaus theorem for finite skew braces. More precisely, if \(B\) is a finite skew brace and \(I\) is an ideal of \(B\) such that \(|I|\) and \(|B/I|\) are coprime, then \(I\) admits a complement in \(B\).

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Marco Damele. 2026-06-28. A Schur--Zassenhaus Theorem for Finite Skew Braces. https://arxiv.org/abs/2606.29295

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