scholarly works
Permanent URI for this collectionhttps://repository.ui.edu.ng/handle/123456789/410
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Item 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.Item 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.Item New equivalence relation for the classification of fuzzy subgroups of symmetric S4(2018-01) Ogiugo, M. E.; EniOluwafe, M.In this paper a new equivalence relation for classifying the fuzzy subgroups of finite groups is studied. Without any equivalence relation on fuzzy subgroups of group G, the number of fuzzy subgroups is infinite, even for the trivial group. The number of distinct fuzzy subgroups with respect to the new equivalence relation is obtained for S4.Item Exhibition of normal distribution in finite p-groups(Scientific & Academic Publishing, 2017) Adebisi, A. S.; EniOluwafe, M.Suppose that G is a group of order m p and n ≤ m. Let Sn(G) be the number of subgroups of order p n in G. Then, the number of subgroups of order pn is normally distributed with respect to n, where n is a positive integer.Item Classifying a class of the fuzzy subgroups of the alternating groups A(n)(2017) Ogiugo, M. E.; EniOluwafe, M.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.Item On counting subgroups for a class of finite nonabelian p-groups and related problems(2017) Olapade, O. O.; EniOluwafe, M.The main goal of this article is to review the work of Marius Tarnauceanu, where an explicit formula for the number of subgroups of finite nonabelian p-groups having a cyclic maximal subgroups was given. Using examples to clarify our work and in addition we give an explicit formula to some related problems.Item Counting subgroups of nonmetacyclic groups of type: D2(n-1) x C2 , n ≥ 3(2015) EniOluwafe, M.The main goal of this note is to determine an explicit formula of finite group formed by taking the Cartesian product of the dihedral group of two power order with a order two cyclic groupItem Counting subgroups of finite non-metacyclic 2-groups having no elementary abelian subgroup of order(2014-10) EniOluwafe, M.The aim of this note is to give an explicit formula for the number of subgroups of finite nonmetacyclic 2-groups having no elementary abelian subgroup of order 8.Item On the extension problem and the nil groups of rings of finite global dimension(2013) Olusa, O. S.; Ilori, S. A.; EniOluwafe, M.Vanishing result is obtained in respect of nil groups of rings of finite global dimension. Also a connection is established with the extension problem.Item Projective resolutions and the homology of an induced group(2013) Olusa, O. S.; Ilori, S. A.; EniOluwafe, M.It is proved that the homology of an induced abelian group with coefficients in the different G– modules occuring in its projective resolution are isomorphic.