On the Sylow Theorem for Skew Braces
Rings and Algebras
2026-04-22 v3 Group Theory
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, -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.
Cite
@article{arxiv.2506.00940,
title = {On the Sylow Theorem for Skew Braces},
author = {A. Caranti and I. Del Corso and M. Di Matteo and M. Ferrara and M. Trombetti},
journal= {arXiv preprint arXiv:2506.00940},
year = {2026}
}
Comments
14 pages