Results 11 to 20 of about 12,625 (238)

THE CYCLIC DECOMPOSITION OF THE FACTOR GROUP CF(Dnh,Z)/R(Dnh) WHEN N IS AN ODD NUMBER

Journal of Kufa for Mathematics and Computer, 2010
For fixed positive integer n³3 ,let Dn be the dihedral group, Dnh= Dn ÏC2 and cf(Dnh,Z) be the abelian group of Z-valued class functions of the group Dnh .The intersection of cf(Dnh,Z) with the group of all generalized characters of Dnh , R(Dnh) is a ...
Hussein Hadi Abbas, Mohammed Shakir Mahdi   +1 more
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On the Norm of the Abelian p-Group-Residuals

Mathematics, 2021
Let G be a group. Dp(G)=⋂H≤GNG(H′(p)) is defined and, the properties of Dp(G) are investigated. It is proved that Dp(G)=P[A], where P=D(P) is the Sylow p-subgroup and A=N(A) is a Hall p′-subgroup of Dp(G), respectively.
Baojun Li, Yu Han, Lü Gong, Tong Jiang
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A note on abelian groups [PDF]

Proceedings of the American Mathematical Society, 1953
Vijayaraghavan and Chowla [2] have proved the following result. If n=2 or has no primitive root, then there exist suitable reduced residue systems rl, r2, , * * , rh and sl, S2 , . * Sh, where h= 4(n), such that risi, r2s2, * , rhsh is also a complete residue system (mod n).
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Complementary dual abelian codes in group algebras of some finite abelian groups [PDF]

ITM Web of Conferences
Linear complementary dual codes have become an interesting sub-family of linear codes over finite fields since they can be practically applied in various fields such as cryptography and quantum error-correction. Recently, properties of complementary dual
Jitman Somphong
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The Abelian Kernel of an Inverse Semigroup

Mathematics, 2020
The problem of computing the abelian kernel of a finite semigroup was first solved by Delgado describing an algorithm that decides whether a given element of a finite semigroup S belongs to the abelian kernel.
A. Ballester-Bolinches, V. Pérez-Calabuig   +1 more
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On Abelian Permutation Groups [PDF]

Canadian Mathematical Bulletin, 1965
The principal object of this note is to determine the maximal order of Abelian subgroups of the symmetric group sn of degree n.
Bercov, R., Moser, L.
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On Group-Vertex-Magic Labeling of Simple Graphs

Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023
Let A be an Abelian group with identity 0. The A-vertex-magic labeling of a graph G is a mapping from the set of vertices in G to A-{0} such that the sum of the labels of every open neighborhood vertex of v is equal, for every vertex v in G.
Muhammad Husnul Khuluq, Vira Hari Krisnawati, Noor Hidayat   +2 more
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Some special classes of n-abelian groups [PDF]

International Journal of Group Theory, 2012
Let n be an integer. A group G is said to be n-abelian if the map phi_n that sends g to g^n is an endomorphism of G. Then (xy)^n=x^ny^n for all x,y in G, from which it follows [x^n,y]=[x,y]^n=[x,y^n]. It is also easy to see that a group G is n-abelian if
Costantino Delizia, Antonio Tortora
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A Note on Additive Groups of Some Specific Torsion-Free Rings of Rank Three and Mixed Associative Rings

Discussiones Mathematicae - General Algebra and Applications, 2017
It is studied how rank two pure subgroups of a torsion-free Abelian group of rank three influences its structure and type set. In particular, the criterion for such a subgroup B to be a direct summand of a torsion-free Abelian group of rank three with ...
Najafizadeh Alireza, Woronowicz Mateusz
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Non-Abelian Pseudocompact Groups

Axioms, 2016
Here are three recently-established theorems from the literature. (A) (2006) Every non-metrizable compact abelian group K has 2|K| -many proper dense pseudocompact subgroups.
W. W. Comfort, Dieter Remus
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