IMAS   23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
Skew braces of size pq
Autor/es:
ACRI, E.; BONATTO, M.
Revista:
COMMUNICATIONS IN ALGEBRA
Editorial:
TAYLOR & FRANCIS INC
Referencias:
Año: 2020 vol. 48 p. 1872 - 1881
ISSN:
0092-7872
Resumen:
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≡1 (modq) there exists only one skew brace which is the trivial one. When p≡1 (modq), 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.