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 there exists only one skew brace which is the trivial one. When we have 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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