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Determining the number of distinct fuzzy subgroups for the abelian structure Z4 x Z2n-1 ,n > 2
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 th...
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2020
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| LEADER | 00000njm a2000000a 4500 | ||
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| 001 | oai:repository.ui.edu.ng:123456789/7917 | ||
| 042 | |a dc | ||
| 720 | |a Adebisi, S.A. |e author | ||
| 720 | |a Ogiugo, M. |e author | ||
| 720 | |a EniOluwafe, M. |e author | ||
| 260 | |c 2020 | ||
| 520 | |a 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. | ||
| 024 | 8 | |a 1116-4336 | |
| 024 | 8 | |a ui_art_adebisi_determining_2020 | |
| 024 | 8 | |a Transactions of the Nigerian Association of Mathematical Physics 11, pp. 5-6 | |
| 024 | 8 | |a http://ir.library.ui.edu.ng/handle/123456789/7917 | |
| 653 | |a Finite p-Groups | ||
| 653 | |a Nilpotent Group | ||
| 653 | |a Fuzzy subgroups | ||
| 653 | |a Dihedral Group | ||
| 653 | |a Inclusion-Exclusion Principle | ||
| 653 | |a Maximal subgroups | ||
| 245 | 0 | 0 | |a Determining the number of distinct fuzzy subgroups for the abelian structure Z4 x Z2n-1 ,n > 2 |