Results 1 to 10 of about 965,826 (183)
On (m, k) -type elements in the ring of integers modulo n [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2022 An element a in a ring R is said to be of (m, k)-type if a m = a k where m and k are positive integers with m > k ≥ 1. Let Xn(m, k) be the set of all (m, k)-type elements, X * n(m, k) be the set of all nonzero (m, k)-type elements, and Sn(m, k) be ...
Phoschanun Ratanaburee +2 more
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The clique number of the intersection graph of a cyclic group of order with at most three prime factors [PDF]
ریاضی و جامعه, 2023 Let $G$ be a finite non-trivial group. The intersection graph $\Gamma(G)$, is a graph whose vertices are all proper non-trivial subgroups of $G$, and there is an edge between two distinct vertices $H $ and $K$ if and only if $H\cap K\neq 1$.
Seyyed Majid Jafarian Amiri +1 more
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Construction of an Infinite Cyclic Group Formed by Artificial Differential Neurons
Mathematics, 2022 Infinite cyclic groups created by various objects belong to the class to the class basic algebraic structures. In this paper, we construct the infinite cyclic group of differential neurons which are modifications of artificial neurons in analogy to ...
Jan Chvalina +2 more
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On infinite anticommutative groups [PDF]
International Journal of Group Theory, 2023 We completely describe the structure of locally (soluble-by-finite) groups in which all abelian subgroups are locally cyclic. Moreover, we prove that Engel groups with the above property are locally nilpotent.
Costantino Delizia, Chiara Nicotera
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A COMPUTATION PERSPECTIVE FOR THE EIGENVALUES OF CIRCULANT MATRICES INVOLVING GEOMETRIC PROGRESSION
Jurnal Matematika UNAND, 2023 In this article, the eigenvalues and inverse of circulant matrices with entries in the first row having the form of a geometric sequence are formulated explicitly in a simple form in one theorem. The method for deriving the formulation of the determinant
SISWANDI SISWANDI +3 more
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The compatible action graphs for finite cyclic 2-groups
Data Analytics and Applied Mathematics, 2020 A graph namely the compatible action graph is introduced by extending the results on the compatible pairs of actions for cyclic 2-groups. Some properties of compatible action graphs are presented.
S.A. Sulaiman +4 more
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Application of a permutation group on sasirangan pattern
Desimal, 2021 A permutation group is a group of all permutations of some set. If the set that forms a permutation group is the n-first of natural number, then a permutation group is called a symmetry group.
Na'imah Hijriati +3 more
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Irreducible Characters with Cyclic Anchor Group
Axioms, 2023 We consider G to be a finite group and p as a prime number. We fix ψ to be an irreducible character of G with its restriction to all p-regular elements of G and ψ0 to be an irreducible Brauer character.
Manal H. Algreagri, Ahmad M. Alghamdi
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Number of terms in the group determinant
Examples and Counterexamples, 2023 In this paper, we prove that when the number of terms in the group determinant of order odd prime p is divided by p, the remainder is 1. In addition, we give a table of the number of terms in kth power of the group determinant of the cyclic group of ...
Naoya Yamaguchi, Yuka Yamaguchi
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A Group Theoretic Approach to Cyclic Cubic Fields
Mathematics, 2023 Let (kμ)μ=14 be a quartet of cyclic cubic number fields sharing a common conductor c=pqr divisible by exactly three prime(power)s, p,q,r. For those components of the quartet whose 3-class group Cl3(kμ)≃(Z/3Z)2 is elementary bicyclic, the automorphism ...
Siham Aouissi, Daniel C. Mayer
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