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

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

Let $p,q$ be distinct primes, with $p>2$. In a previous paper we classified the Hopf-Galois structures on Galois extensions of degree $p^{2}q$, when the Sylow $p$-subgroups of…