3 papers
math.GR2019
Skew braces of size
Emiliano Acri, Marco Bonatto
In this paper we enumerate the skew braces of size for odd primes by the classification of regular subgroups of the holomorph of the groups of size . In particul…
math.GR2019
Skew braces of size
E. Acri, M. Bonatto
We construct all skew braces of size (where are primes) by using Byott's classification of Hopf--Galois extensions of the same degree. For there…
math.RA2019
Retractability of solutions to the Yang-Baxter equation and -nilpotency of skew braces
E. Acri, R. Lutowski, L. Vendramin
Using Bieberbach groups we study multipermutation involutive solutions to the Yang-Baxter equation. We use a linear representation of the structure group of an involutive solution…