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 $…