Hopf-Galois structures on a Galois $S_n$-extension

Abstract

In this paper, we shall determine the exact number of Hopf-Galois structures on a Galois $S_n$-extension, where $S_n$ denotes the symmetric group on $n$ letters.

arXiv commentfixed some small typos

References in corpus (2)

• Non-existence of Hopf-Galois structures and bijective crossed homomorphisms
• Hopf Galois structures on symmetric and alternating extensions

Cited by in corpus (3)

• On the solvability of regular subgroups in the holomorph of a finite solvable group
• Hopf-Galois structures on finite extensions with almost simple Galois group
• Hopf-Galois structures on finite extensions with quasisimple Galois group