A. Caranti

activity

20192025

collaborators

3 papers

math.RA2025

On Dedekind Skew Braces

A. Caranti, I. Del Corso, M. Di Matteo +2

Skew braces play a central role in the theory of set-theoretic non-degenerate solutions of the Yang--Baxter equation, since their algebraic properties significantly affect the beha…

math.GR2020

Bi-Skew Braces and Regular Subgroups of the Holomorph

A. Caranti

L. Childs has defined a skew brace $(G, \cdot, \circ)$ to be a bi-skew brace if $(G, \circ, \cdot)$ is also a skew brace, and has given applications of this concept to the equivale…

math.RA2019

Hopf-Galois structures on extensions of degree $p^{2} q$ and skew braces of order $p^{2} q$ : the cyclic Sylow $p$ -subgroup case

E. Campedel, A. Caranti, I. Del Corso

$\DeclareMathOperator{\Aut}{Aut}$Let $p, q$ be distinct primes, with $p > 2$ . We classify the Hopf-Galois structures on Galois extensions of degree $p^{2} q$ , such that the Sylow $…

On Dedekind Skew Braces

Bi-Skew Braces and Regular Subgroups of the Holomorph

Hopf-Galois structures on extensions of degree p2q and skew braces of order p2q: the cyclic Sylow p-subgroup case

Hopf-Galois structures on extensions of degree $p^{2} q$ and skew braces of order $p^{2} q$ : the cyclic Sylow $p$ -subgroup case