A Schur--Zassenhaus Theorem for Finite Skew Braces

Marco Damele

A Schur--Zassenhaus Theorem for Finite Skew Braces

Group Theory 2026-06-28 v1

Authors: Marco Damele

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 $B$ .

Keywords

skew braces Schur-Zassenhaus theorem finite groups ideals complements

Cite

@article{arxiv.2606.29295,
  title  = {A Schur--Zassenhaus Theorem for Finite Skew Braces},
  author = {Marco Damele},
  journal= {arXiv preprint arXiv:2606.29295},
  year   = {2026}
}

Comments

6 pages