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

نویسندگان
Ogiugo, Mike ID 1
Enioluwafe, Michael ID 2
Adebisi, Sunday Adesina ID 3

1 Department of Mathematics, School of Science, Yaba College of Technology, Nigeria.

2 Department of Mathematics, Faculty of Science, University of Ibadan, Nigeria.

3 Department of Mathematics, Faculty of Science, University of Lagos, Nigeria.

doi
10.22105/jfea.2022.360304.1231
چکیده

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.

کلیدواژه‌ها
finite p-groups, nilpotent group, Fuzzy subgroups, Dihedral group, Inclusion-Exclusion Principle, maximal subgroups