Adebisi, S.A.Ogiugo, M.EniOluwafe, M.2023-02-102023-02-1020201116-4336ui_art_adebisi_determining_2020Transactions of the Nigerian Association of Mathematical Physics 11, pp. 5-6http://ir.library.ui.edu.ng/handle/123456789/7917The problem of classification of fuzzy subgroups can be extended from finite p-groups to finite nilpotent groups. Accordingly, any finite nilpotent group can be uniquely written as a direct product of p-groups. In this paper, we give explicit formulae for the number of distinct fuzzy subgroups of the Cartesian product of two abelian groups of orders 2n−1 and 4 respectively for every integer n >2.enFinite p-GroupsNilpotent GroupFuzzy subgroupsDihedral GroupInclusion-Exclusion PrincipleMaximal subgroupsArticle