Results 31 to 40 of about 12,672,108 (295)
The Abelian Kernel of an Inverse Semigroup
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 +1 more
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On Group-Vertex-Magic Labeling of Simple Graphs
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 +2 more
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A note on abelian groups [PDF]
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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Some special classes of n-abelian groups [PDF]
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 Characterization of Abelian Groups [PDF]
Let G G be a group and let k > 2 k > 2 be an integer such that ( k 3 − k ) > | G | / 2 ({k^3} - k) > |G|
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On Group Codes Over Elementary Abelian Groups
For group codes over elementary Abelian groups we present definitions of the generator and the parity check matrices, which are matrices over the ring of endomorphism of the group.
Adnan A. Zain
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Representation of Finite Abelian Group Elements by Subsequence Sums [PDF]
Let $G\cong C_{n_1}\oplus ... \oplus C_{n_r}$ be a finite and nontrivial abelian group with $n_1|n_2|...|n_r$. A conjecture of Hamidoune says that if $W=w_1...
D. Grynkiewicz, L. Marchan, Oscar Ordaz
semanticscholar +1 more source
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
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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Weyl groups and abelian varieties [PDF]
20 pages, to appear in Journal of Group ...
Carocca, Angel +2 more
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