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

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 carte...

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Bibliographic Details
Published in:Journal of fuzzy extension & applications (Online) 2023-03, Vol.4 (1), p.1-7
Main Authors: Sunday Adesina Adebisi, Mike Ogiugo, Michael Enioluwafe
Format: Article
Language:English
Subjects:
dihedral group
finite p-groups
fuzzy subgroups
inclusion-exclusion principle
maximal subgroups
nilpotent group
Online Access:Get full text
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Summary: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.
ISSN:2783-1442
2717-3453
DOI:10.22105/jfea.2022.360304.1231