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arXiv · 2506.00940

On the Sylow Theorem for Skew Braces

A. Caranti·I. Del Corso·M. Di Matteo·M. Ferrara·M. Trombetti
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Abstract

We discuss the (first) Sylow theorem for certain classes of finite skew braces, proving it to hold true when the skew brace is two-sided, bi-skew, right nilpotent, $\lambda$-homomorphic or supersoluble. We also show it to hold true for soluble skew braces that are left-nilpotent, and address a number of more specialized settings, proving general Hall-type theorems.

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A. Caranti, I. Del Corso, M. Di Matteo, M. Ferrara, M. Trombetti. 2025-06-01. On the Sylow Theorem for Skew Braces. https://arxiv.org/abs/2506.00940

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