Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Skew Braces of Squarefree Order   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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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat