Skew braces of squarefree order

@article{Alabdali2019SkewBO,
  title={Skew braces of squarefree order},
  author={Ali Abdulqader Bilal Alabdali and Nigel P. Byott},
  journal={arXiv: Rings and Algebras},
  year={2019}
}
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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