Mathematics

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The fuzzy subgroups for the abelian structure Z8 x Z2n , n > 2
(Nigerian Mathematical Society, 2020) Adebisi, S. A.; Ogiugo, M.; EniOluwafe, M.
Any finite nilpotent group can be uniquely written as a direct product of p-groups. In this paper, we give explicit formulae for the number of distinct fuzzy subgroups of the cartesian product of two abelian groups of orders 2n and 8 respectively for every integer n > 2 .
Determining the number of distinct fuzzy subgroups for the abelian structure Z4 x Z2n-1 ,n > 2
(2020) Adebisi, S.A.; Ogiugo, M.; EniOluwafe, M.
The problem of classification of fuzzy subgroups can be extended from finite p-groups to finite nilpotent groups. Accordingly, any finite nilpotent group can be uniquely written as a direct product of p-groups. In this paper, we give explicit formulae for the number of distinct fuzzy subgroups of the Cartesian product of two abelian groups of orders 2n−1 and 4 respectively for every integer n >2.
Computing the number of distinct fuzzy subgroups for the nilpotent p-group of D2n x C4.
(2020-03) Adebisi, S. A.; Ogiugo, M.; EniOluwafe, M.
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 2n with a cyclic group of order four, where n > 3.