Skew braces of size $p^2q$ I: abelian type
Group Theory
2022-05-03 v4 Quantum Algebra
Rings and Algebras
Abstract
This is the first part of a series of two articles. In this paper we enumerate and classify the left braces of size where and are distinct prime numbers by the classification of regular subgroups of the holomorph of the abelian groups of the same order. We also provide the formulas that define the constructed braces.
Cite
@article{arxiv.2004.04291,
title = {Skew braces of size $p^2q$ I: abelian type},
author = {E. Acri and M. Bonatto},
journal= {arXiv preprint arXiv:2004.04291},
year = {2022}
}
Comments
21 pages, 21 tables. We split a previous work arXiv:1912.11889 improving results and adding a treatment for the even case. v2: arXiv identifier of our preprint on skew braces of size $p^2q$ of non-abelian type now included. v3: final version