scholarly works

Permanent URI for this collectionhttps://repository.ui.edu.ng/handle/123456789/410

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Author: search.filters.author.EniOluwafe, M.Subject: search.filters.subject.Dihedral group

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    The Fuzzy Subgroups for the Nilpotent (P-Group) of (D23 × C2m) for M ≥ 3
    (2022) Adebisi, S.A.; Ogiugo, M.; EniOluwafe, M.
    A group is nilpotent if it has a normal series of a finite length n. By this notion, every finite p-group is nilpotent. The nilpotence property is an hereditary one. Thus, every finite p-group possesses certain remarkable characteristics. In this paper, the explicit formulae is given for the number of distinct fuzzy subgroups of the Cartesian product of the dihedral group of order 23 with a cyclic group of order of an m power of two for, which m ≥ 3.
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    The Modular Group of the form : M2n x C2
    (International Journal of Fuzzy Mathematical Archive, 2020) Adebisi, S. A.; EniOluwafe, M.
    In this paper, the classification of finite -groups is extended to the group of the modular structure x , and the number of distinct subgroups were computed, making the classification of the given structure possible for the given prime = 2
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    The Generalized Quarternion p-Group of Order 2n : Discovering the Fuzzy Subgroups
    (International Journal of Fuzzy Mathematical Archive, 2020) Adebisi, S.A.; EniOluwafe, M.
    In this paper, the classification of finite p-groups is extended to the cartesian product of the generalized quarternion group of order 2n with a cyclic group of order 2 which also belongs to the class of the famous nilpotent groups
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    Combinatorics of counting distinct fuzzy subgroups of certain dihedral group
    (2019) Olayiwola, A.; EniOluwafe, M.
    This paper is devoted to counting distinct fuzzy subgroups (DFS) of finite dihedral group D2n, where n is a product of finite number of distinct primes, with respect to the equivalence relation ≈ . This counting has connections with familiar integer sequence called ordered Bell numbers. Furthermore, a recurrence relation and generating function was derived for counting DFS of D2n.
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    Classifying fuzzy subgroups of certain dihedral group D2p5
    (2019) Olayiwola, A.; EniOluwafe, M.
    In this paper, we give an explicit formula for counting the number of distinct fuzzy sub-groups of dihedral group D2ps for any prime(p) and any integer s≥1. This we achieved using the algorithm described on the most recent equivalence relation ≈ known in the literature to classify fuzzy groups.