4 papers · 1 filter
Classification of Nottingham algebras
M. Avitabile, A. Caranti, S. Mattarei
The graded Lie algebra associated with the Nottingham group over a field of prime characteristic serves as a fundamental example of Nottingham algebras, a class of infinite-dimensi…
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…
On the Sylow Theorem for Skew Braces
A. Caranti, I. Del Corso, M. Di Matteo +2
We discuss the (first) Sylow theorem for certain classes of finite skew braces, proving it to hold true when the skew brace is two-sided, bi-skew, right nilpotent, -homomorphic…
Hopf-Galois structures on extensions of degree and skew braces of order : the cyclic Sylow -subgroup case
E. Campedel, A. Caranti, I. Del Corso
$\DeclareMathOperator{\Aut}{Aut}$Let be distinct primes, with . We classify the Hopf-Galois structures on Galois extensions of degree , such that the Sylow $…