Skew braces of size $pq$

E. Acri; M. Bonatto

doi:10.1080/00927872.2019.1709480

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arXiv · 1908.03228

Skew braces of size $pq$

E. Acri·M. Bonatto

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Abstract

We construct all skew braces of size $pq$ (where $p>q$ are primes) by using Byott's classification of Hopf--Galois extensions of the same degree. For $p\not\equiv 1 \pmod{q}$ there exists only one skew brace which is the trivial one. When $p\equiv 1 \pmod{q}$, we have $2q+2$ skew braces, two of which are of cyclic type (so, contained in Rump's classification) and $2q$ of non-abelian type.

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BibTeX RIS

E. Acri, M. Bonatto. 2019-08-08. Skew braces of size $pq$. https://doi.org/10.1080/00927872.2019.1709480

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