关键词: finite p-group, factorization number, subgroup commutativity degree

Abstract: Let p be a prime number and f₂（G） be the number of factorizations G = AB of the group G, where A, B are subgroups of G. Let G be a class of finite p-groups as follows,G =< a, b | _apⁿ= _bp^m= 1, a^b= _ap^n-1+1>, where n > m ≥ 1. In this article, the factorization number f₂（G） of G is computed, improving the results of Saeedi and Farrokhi in [5]. 

Key words: finite p-group, factorization number, subgroup commutativity degree