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Weak Cayley Table Groups of Crystallographic Groups I

Algebra Colloquium
Let [Formula: see text] be a group. A weak Cayley table isomorphism is a bijection [Formula: see text] such that (i) [Formula: see text] is conjugate to [Formula: see text] for [Formula: see text], [Formula: see text] and (ii) [Formula: see text] sends conjugacy classes to conjugacy classes.
Rebeca Ann Paulsen, Stephen P. Humphries
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Optimal Constructions of LRCs based on Cayley Table

2023 14th International Conference on Computing Communication and Networking Technologies (ICCCNT), 2023
Deep Mukhopadhyay, Sanjit Bhowmick, Kalyan Hansda, Satya Bagchi   +3 more
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The 2-Characters of a Group and the Weak Cayley Table

2019
Group character theory has many applications, but it is not easy to characterize the information contained in the character table of a group, or give concise information which in addition to that in the character table determines a group. The first part of this chapter examines the extra information which is obtained if the irreducible 2-characters of ...
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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 ...
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The Simulation of the System with the Help of Finite Group of Factors Determining the System. P-Properties of the System. Cayley Tables and Their Role in Modeling Associative Closed System with Feedback

2018
Communications among the systems factors are characterized by the interactions between the systems factors. In our case these are a binary operation of composition of the factors and an unary operation \({\square}^{ - 1}\), which characterized the feedback of the system.
Natalia Serdyukova, Vladimir Serdyukov
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An odd fact about Cayley tables

The Mathematical Gazette, 2023
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Symmetries of the Cayley Group Table

Mathematics Magazine, 1974
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Report of the Committee, consisting of Professor Cayley, Dr. Farr, 2.2. Mr. J. W. L. Glaisher, Dr. Pole, Professor Fuller, Professor A. B. W. Kennedy, Professor Clifford, and Mr. C. W. Merrifield, appointed to consider the advisability and to estimate the expense of constructing Mr. Babbage’s Analytical Machine, and of printing Tables by its means.

1982
We desire in the first place to record our obligations to General Henry Babbage for the frank and liberal manner in which he has assisted the Committee, not only by placing at their disposal all the information within his reach, but by exhibiting and explaining to them, at no small loss of time and sacrifice of personal convenience, the machinery and ...
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Automorphism Groups and Isomorphisms of Cayley Digraphs

Discrete Mathematics, 1998
Ming-Yao Xu
exaly  

Roughness in Cayley Graphs

Information Sciences, 2010
Bijan Davvaz
exaly