
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.
fixed some small typos
Hopf algebras and their applications, Mathematics - Number Theory, Separable extensions, Galois theory, Group Theory (math.GR), Hopf algebra, symmetric group, holomorph of a finite group, FOS: Mathematics, Number Theory (math.NT), Hopf-Galois structure, Galois extension, regular subgroup, Mathematics - Group Theory
Hopf algebras and their applications, Mathematics - Number Theory, Separable extensions, Galois theory, Group Theory (math.GR), Hopf algebra, symmetric group, holomorph of a finite group, FOS: Mathematics, Number Theory (math.NT), Hopf-Galois structure, Galois extension, regular subgroup, Mathematics - Group Theory
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