The nilpotent ( p-group) of (D25 X C2n) for m > 5

Abstract

Every finite p-group is nilpotent. The nilpotence property is an hereditary one. Thus, every finite p-group possesses certain remarkable characteristics. Efforts are carefully being intensified to calculate, in this paper, the explicit formulae for the number of distinct fuzzy subgroups of the cartesian product of the dihedral group of order with a cyclic group of order of an m power of two for, which n >5.

Keywords

• finite p-groups
• nilpotent group
• fuzzy subgroups
• dihedral group
• inclusion-exclusion principle
• maximal subgroups