Skew braces of size $p^2q$ II: non-abelian type
Abstract
In this paper we enumerate the skew braces of non-abelian type of size for primes with by the classification of regular subgroups of the holomorph of the non-abelian groups of the same order. Since Crespo dealt with the case , this paper completes the enumeration of skew braces of size started in a previous work by the authors. In some cases, we provide also a structural description of the skew braces. As an application, we prove a conjecture posed by V. Bardakov, M. Neshchadim and M. Yadav.
Cite
@article{arxiv.2004.04232,
title = {Skew braces of size $p^2q$ II: non-abelian type},
author = {E. Acri and M. Bonatto},
journal= {arXiv preprint arXiv:2004.04232},
year = {2022}
}
Comments
37 pages, 20 tables. We split a previous work arXiv:1912.11889 improving results and adding a treatment for the even case. v2: v2: arXiv identifier of our preprint on skew braces of size $p^2q$ of abelian type now included. v3: 43 pages, 20 tables, final version with significant improvements, to appear in Journal of Algebra and Its Applications