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arXiv · 2004.04232

Skew braces of size $p^2q$ II: non-abelian type

E. Acri·M. Bonatto
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Abstract

In this paper we enumerate the skew braces of non-abelian type of size $p^2q$ for $p,q$ primes with $q>2$ by the classification of regular subgroups of the holomorph of the non-abelian groups of the same order. Since Crespo dealt with the case $q=2$, this paper completes the enumeration of skew braces of size $p^2q$ 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.

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BibTeXRIS

E. Acri, M. Bonatto. 2020-04-08. Skew braces of size $p^2q$ II: non-abelian type. https://doi.org/10.1142/s0219498822500621

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