An explicit formula for the number of distinct fuzzy subgroups of the cartesian product of the dihedral group of order 2n with a cyclic group of order 2

Adebisi, S. A.EniOluwafe, M.2023-02-102023-02-1020202277-1417ui_art_adebisi_explicit_2020Universal Journal of Mathematics and Mathematical Sciences 13(1), pp. 1-7http://ir.library.ui.edu.ng/handle/123456789/7918The 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 the dihedral group of order 2n with a cyclic group of order 2.enFinite p-GroupsNilpotent GroupFuzzy subgroupsDihedral GroupInclusion-Exclusion PrincipleMaximal subgroupsAn explicit formula for the number of distinct fuzzy subgroups of the cartesian product of the dihedral group of order 2n with a cyclic group of order 2Article