Please use this identifier to cite or link to this item: http://ir.library.ui.edu.ng/handle/123456789/7917
Title: Determining the number of distinct fuzzy subgroups for the abelian structure Z4 x Z2n-1 ,n > 2
Authors: Adebisi, S.A.
Ogiugo, M.
EniOluwafe, M.
Keywords: Finite p-Groups
Nilpotent Group
Fuzzy subgroups
Dihedral Group
Inclusion-Exclusion Principle
Maximal subgroups
Issue Date: 2020
Abstract: 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.
URI: http://ir.library.ui.edu.ng/handle/123456789/7917
ISSN: 1116-4336
Appears in Collections:scholarly works

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