Results 141 to 150 of about 528 (180)

Efficiency of Computation of Cayley Tables of 2-Groups

Journal of the ACM, 1976
Two algorithms for computing the multiplication table of a 2-group are described and discussed. One of the algorithms works in an element-by-element fashion; the other works in terms of subgroups generated by initial subsequences of the given sequence of generators.
Richard G. Larson
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Visualizing large-order groups with computer-generated Cayley tables

Journal of Mathematics and the Arts, 2017
ABSTRACTLarge-order finite groups have been made the subject of artwork through abstract computer-generated pictures corresponding to Cayley tables which have been presented in some recent mathematical art exhibits and galleries. In our present article, we further explore the concept of using computer art to visualize large-order groups, by offering ...
J. M. Campbell
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Which Latin Squares are Cayley Tables?

The American Mathematical Monthly, 1991
Man-Keung Siu
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Cayley tables and associativity

The Mathematical Gazette, 1978
Some of the group axioms are easy to check. The entries within the table are those outside, so the set is closed under the operation. The first row and column inside the table copy the row and column at the top and side, so 1 is a two-sided identity.
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Weak Cayley tables and generalized centralizer rings of finite groups

Mathematical Proceedings of the Cambridge Philosophical Society, 2012
AbstractFor a finite groupGwe study certain rings(k)Gcalledk-S-rings, one for eachk≥ 1, where(1)Gis the centraliser ringZ(ℂG) ofG. These rings have the property that(k+1)Gdetermines(k)Gfor allk≥ 1. We study the relationship of(2)Gwith the weak Cayley table ofG.
Humphries, Stephen P., Rode, Emma L.
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On the category of weak Cayley table morphisms between groups

Selecta Mathematica, 2007
Weak Cayley table functions between groups are generalized conjugacy-preserving homomorphisms, under which products of images are conjugate to images of products. There is a weak Cayley table bijection between two groups iff they have the same 2-characters.
K. W. Johnson, J. D. H. Smith
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Gradient based fractal image compression using Cayley table

Measurement, 2019
Abstract Encoding complexity reduction is an active area of research in the field of fractal image compression. In this proposed method, affine transformation is predicted to reduce the computational complexity and score value is calculated to further minimise the number of computations in the exhaustive process of encoding.
K. Sheeba, M. Abdul Rahiman
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An algorithm for Cayley tables of algebras

Zbornik radova Prirodno-matematičkog fakulteta u Novom Sadu, serija Matematika, 1993
This paper presents an algorithm to determine all nonisomorphic semigroups of \(n\) elements. The authors consider three types of elements: freely defined elements, defined elements and undefined elements, and make each element of the matrix of the Cayley table correspond to an ordinal number.
Crvenković, Siniša, Stojmenović, Ivan
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The Cayley Addition Table of Z n

The American Mathematical Monthly, 1999
(1999). The Cayley Addition Table of Zn. The American Mathematical Monthly: Vol. 106, No. 6, pp. 584-585.
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On the spectrum of Cayley graphs via character table

2014
A Cayley graph can be consider as an interpretation of group representation. This means that one can construct the Cayley graph Г = Cay(G, S) by having the vertex set to be the elements of G with g~h if and only if hg-1 e S. In this paper, we focus our attention on Cayley graphs with a normal symmetric subset.
Nowroozi, Farzaneh, Ghorbani, Modjtaba
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