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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 |
Files in This Item:
File | Description | Size | Format | |
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(22) ui_art_adebisi_determining_2020.pdf | 887.11 kB | Adobe PDF | View/Open |
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