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Description of the first disc Δ1(t) of the commuting graph C(G, X) for elements of order three in symmetric groups


Citation

Nawawi, Athirah and Rowley, Peter J. (2016) Description of the first disc Δ1(t) of the commuting graph C(G, X) for elements of order three in symmetric groups. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. (pp. 1-4).

Abstract

The commuting graph C(G, X), where G is a finite group and X is a subset of G, is the graph whose vertex set is X and two distinct elements of X being joined by an edge whenever they commute in the group G. Here the CG(t)-orbit representatives and the number of elements in the first disc Δ1(t) of C(G, X), is studied when G is a symmetric group of degree n, Sym(n) and X is a conjugacy class of elements of order three.


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Official URL or Download Paper: http://aip.scitation.org/doi/abs/10.1063/1.4952544

Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1063/1.4952544
Publisher: AIP Publishing
Keywords: Commuting graph C(G, X); Δ1(t); Symmetric group; Order three
Depositing User: Nabilah Mustapa
Date Deposited: 08 Sep 2017 05:30
Last Modified: 08 Sep 2017 05:30
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4952544
URI: http://psasir.upm.edu.my/id/eprint/57173
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