Skew Braces of Squarefree Order
| Autor: | Alabdali, Ali A., Byott, Nigel P. |
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| Rok vydání: | 2019 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 23 pages; arXiv identifier of our preprint on Hopf-Galois structures of squarefree degree now included |
| Databáze: | arXiv |
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