On the Nilpotent Fuzzy Subgroups of the Abelian Type: Z₃₂ × Z₂ⁿ, n ≥ 5
1 Department of Mathematics, Faculty of Science, University of Lagos, Nigeria
2 Department of Mathematics, School of Science, Yaba College of Technology, Lagos
3 Department of Mathematics, Faculty of Science, University of Ibadan. Nigeria
* Corresponding author: adesinasunday@yahoo.com
2 Department of Mathematics, School of Science, Yaba College of Technology, Lagos
3 Department of Mathematics, Faculty of Science, University of Ibadan. Nigeria
* Corresponding author: adesinasunday@yahoo.com
Abstract
The extension of the finite nilpotent groups is now being
diversified. As such, results up to two dimensions are now
obtainable. In this paper, the fuzzy subgroups of the nilpotent abelian structure given by: Z32 × Z2n, the cartesian
product of two abelian subgroups of orders 2n and 32 respectively for every integer n > 5 have been carefully studied
and the explicit formulae for its number distinctly given.
Keywords
Finite p-Groups
Abelian Group
Fuzzy subgroups
isomorphic
Inclusion-Exclusion Principle
Maximal subgroups
Nilpotent group & Explicit formulae
How to Cite
Adebisi, S. A., Ogiugo, M., & EniOluwafe, M. (2026). On the Nilpotent Fuzzy Subgroups of the Abelian Type: Z₃₂ × Z₂ⁿ, n ≥ 5. Nigerian Journal of Mathematics and Applications, 30(1), 73-78.
S. A. Adebisi, M. Ogiugo, and M. EniOluwafe, "On the Nilpotent Fuzzy Subgroups of the Abelian Type: Z₃₂ × Z₂ⁿ, n ≥ 5," Nigerian Journal of Mathematics and Applications, vol. 30, no. 1, pp. 73-78, August 2026.
