FUZZY SUBGROUPS FOR (THE CARTESIAN PRODUCT OF) THE ABELIAN STRUCTURE : Z16×Z2n, n > 3

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2020

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Abstract

As part of the extension of the finite nilpotent groups to the direct product of p-groups, we give in this paper, the explicit formulae for the number of distinct fuzzy subgroups of the abelian structure given by: ℤ16 × 2, n > 3, the Cartesian product of two abelian groups of orders 2n and 16 respectively for every integer n > 3

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Finite p-Groups, Abelian Group, Fuzzy subgroups, isomorphic, Inclusion-Exclusion Principle, Maximal subgroups

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