Factorization numbers of finite abelian groups

Abstract

‎The number of factorizations of a finite abelian group as the product of two subgroups is computed in two different ways and a combinatorial identity involving Gaussian binomial coefficients is presented‎.

Keywords

• Factorization number‎
• ‎Abelian group‎
• ‎subgroup‎
• ‎Gaussian‎ ‎binomial coefficient