Skew braces of squarefree order
Alabdali, AA; Byott, NP
Date: 17 July 2020
Journal
Journal of Algebra and Its Applications
Publisher
World Scientific Publishing
Publisher DOI
Abstract
Let n ≥ 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 ...
Let n ≥ 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, in particular proving a conjecture
of Bardakov, Neshchadim and Yadav on the number of skew braces
of order 2pq for primes q > p ≥ 3.
Mathematics and Statistics
Faculty of Environment, Science and Economy
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