Browsing by Author "EniOluwafe, M."

Now showing 1 - 20 of 32

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.
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.
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.
Computing the number of distinct fuzzy subgroups for the nilpotent p-group of D2n x C4.
(2020-03) Adebisi, S. A.; Ogiugo, M.; EniOluwafe, M.
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 2n with a cyclic group of order four, where n > 3.
Counting subgroup formula for the groups formed by cartesian Product of the generalized quaternion group with cyclic group of order two
("National Mathematical Centre, Abuja & Department of Mathematics, University of Ibadan, Ibadan, NIGERIA", 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 generalized quaternion group of two power order with a order two cyclic group
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.
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 group
Determining the number of distinct fuzzy subgroups for the abelian structure Z4 x Z2n-1 ,n > 2
(2020) Adebisi, S.A.; Ogiugo, M.; EniOluwafe, M.
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.
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.
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
(Pushpa Publishing House, Prayagraj, India, 2020) Adebisi, S. A.; EniOluwafe, M.
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.
The explict formula for the number of the distinct fuzzy subgroups of the cartesian product of the dihedral group 2n with a cyclic group of order eight, where n>3
(2020) Adebisi, S. A.; Ogiugo, M.; EniOluwafe, M.
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 2n with a cyclic group of order 8, where n>3.
FUZZY SUBGROUPS FOR (THE CARTESIAN PRODUCT OF) THE ABELIAN STRUCTURE : Z16×Z2n, n > 3
(2020) Adebisi, S.A.; Ogiugo, M.; EniOluwafe, M.
As part of the extension of the finite nilpotent groups to the direct product of p-groups, we give in this paper, the explicit formulae for the number of distinct fuzzy subgroups of the abelian structure given by: ℤ16 × 2, n > 3, the Cartesian product of two abelian groups of orders 2n and 16 respectively for every integer n > 3
The fuzzy subgroups for the abelian structure Z8 x Z2n , n > 2
(Nigerian Mathematical Society, 2020) Adebisi, S. A.; Ogiugo, M.; EniOluwafe, M.
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 and 8 respectively for every integer n > 2 .
G-theory of group rings for groups of elementary abelian p-groups
(2009) EniOluwafe, M.
NEW DISCOVERIES ON THE FINITE p-GROUPS OF ORDER 2(n+6)
(Jyoti Academic Press, 2020) Adebisi, S.A.; Ogiugo, M.; EniOluwafe, M.
The finite nilpotent groups can now be formed in various dimension. As such, results up to two dimensions are now obtainable. In this paper, the fuzzy subgroups of the nilpotent product of two abelian subgroups of orders n2 and 64. Here, the integers n > 6 have been successfully considered and the derivation for the explicit formulae for its number distinct fuzzy subgroups were calculated.
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.
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.
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.
On the Nilpotent Fuzzy Subgroups of the Abelian Type: Z32 × Z2n , n ≥ 5
(2020) Adebisi, S.A.; Ogiugo, M.; EniOluwafe, M.
The extension of the finite nilpotent groups is now being diversified. As such, results up to two dimensions are now obtainable. In this paper, the fuzzy subgroups of the nilpo tent abelian structure given by: Z32 × Z2n , the cartesian product of two abelian subgroups of orders 2n and 32 respec tively for every integer n > 5 have been carefully studied and the explicit formulae for its number distinctly given.
On the number of cyclic quotients of some abelian p-groups
(2007-11) EniOluwafe, M.
We determine in this paper, the precise number of cyclic quotients of Abelian p-groups of exponent p and rank r > 1; / = 1 and 2