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arXiv · 1910.07814

Skew Braces of Squarefree Order

Ali A. Alabdali·Nigel P. Byott
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Abstract

Let $n \geq 1$ be a squarefree integer, and let $M$, $A$ be two groups of order $n$. Using our previous results on the enumeration of Hopf-Galois structures on Galois extensions of fields of squarefree degree, we determine the number of skew braces (up to isomorphism) with multiplicative group $M$ and additive group $A$. As an application, we enumerate skew braces whose order is the product of three distinct primes.

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Ali A. Alabdali, Nigel P. Byott. 2019-10-21. Skew Braces of Squarefree Order. https://arxiv.org/abs/1910.07814

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