19 citations · 35 across the 4 of their papers we have counts for
5 papers
Skew braces of size I: abelian type
E. Acri, M. Bonatto
This is the first part of a series of two articles. In this paper we enumerate and classify the left braces of size where and are distinct prime numbers by the class…
Skew braces of size II: non-abelian type
E. Acri, M. Bonatto
In this paper we enumerate the skew braces of non-abelian type of size for primes with by the classification of regular subgroups of the holomorph of the non-abe…
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…
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…
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…