On the Frobenius numbers of symmetric groups
Let \(A\) be a finite Abelian group and \(G\) a finite group. Then \textit{T. Yoshida} [J. Algebra 156, No. 1, 125-156 (1993; Zbl 0827.20033)] proved that \(|\Hom(A,G)|\equiv 0\bmod\gcd(|A|,|G|)\), which is a generalization of a theorem of Frobenius. The author of the present article proves a theorem whose consequence is the above result.
scientific article; zbMATH DE number 1400107