A group is nilpotent if it has a normal series of a finite length n. By this notion, every finite p-group is nilpotent. The nilpotence property is an hereditary one. Thus, every finite p-group possesses certain remarkable characteristics. In this paper, the explicit formulae is given for the number of distinct fuzzy subgroups of the Cartesian product of the dihedral group of order 23 with a cyclic group of order of an m power of two for, which m ≥ 3.
(International Journal of Fuzzy Mathematical Archive, 2020) Adebisi, S.A.; EniOluwafe, M.
In this paper, the classification of finite p-groups is extended to the cartesian product of the generalized quarternion group of order 2n with a cyclic group of order 2 which also belongs to the class of the famous nilpotent groups
