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An explicit formula for the number of distinct fuzzy subgroups of the cartesian product of the dihedral group of order 2n with a cyclic group of order 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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| Format: | Article |
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2020
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| LEADER | 00000njm a2000000a 4500 | ||
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| 001 | oai:repository.ui.edu.ng:123456789/7918 | ||
| 042 | |a dc | ||
| 720 | |a Adebisi, S. A. |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 the dihedral group of order 2n with a cyclic group of order 2. | ||
| 024 | 8 | |a 2277-1417 | |
| 024 | 8 | |a ui_art_adebisi_explicit_2020 | |
| 024 | 8 | |a Universal Journal of Mathematics and Mathematical Sciences 13(1), pp. 1-7 | |
| 024 | 8 | |a http://ir.library.ui.edu.ng/handle/123456789/7918 | |
| 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 An explicit formula for the number of distinct fuzzy subgroups of the cartesian product of the dihedral group of order 2n with a cyclic group of order 2 |