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http://ir.library.ui.edu.ng/handle/123456789/7910| Title: | Classifying a class of the fuzzy subgroups of the alternating groups A(n) |
| Authors: | Ogiugo, M. E. EniOluwafe, M. |
| Keywords: | Fuzzy subgroups Chains of subgroups Maximal chains of subgroups Alternating groups Symmetric groups Recurrence relations |
| Issue Date: | 2017 |
| Abstract: | The aim of this paper is to classify the fuzzy subgroups of the alternating group. First, an equivalence relation on *the set of all fuzzy subgroups of a group G is defined. Without any equivalence relation on fuzzy subgroups of group G, the number of fuzzy subgroups is infinite, even for the trivial group. Explicit formulae for the number of distinct fuzzy subgroup of finite alternating group are obtained in the particular case n = 5. Some inequalities satisfied by this number are also established for n≥ 5. |
| URI: | http://ir.library.ui.edu.ng/handle/123456789/7910 |
| ISSN: | 1608-9324 |
| Appears in Collections: | scholarly works |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| (14) ui_art_ogiugo_classifying_2017.pdf | 813.89 kB | Adobe PDF |  View/Open |
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