On the Factorization Numbers of Some Finite \(p\)-Groups

Abstract

This note deals with the computation of the factorization number \(F_2(G)\) of a finite group \(G\). By using the Möbius inversion formula, explicit expressions of \(F_2(G)\) are obtained for two classes of finite abelian groups, improving the results of “Factorization numbers of some finite groups”, Glasgow Math. J. (2012).