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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

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(...

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Main Authors: Nawawi, Athirah, Rowley, Peter J.
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing 2016
Online Access:http://psasir.upm.edu.my/id/eprint/57173/1/Description%20of%20the%20first%20disc%20%CE%941%28t%29%20of%20the%20commuting%20graph%20C%28G%2C%20X%29%20for%20elements%20of%20order%20three%20in%20symmetric%20groups.pdf
http://psasir.upm.edu.my/id/eprint/57173/
http://aip.scitation.org/doi/abs/10.1063/1.4952544
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spelling my.upm.eprints.571732017-09-08T05:30:21Z http://psasir.upm.edu.my/id/eprint/57173/ Description of the first disc Δ1(t) of the commuting graph C(G, X) for elements of order three in symmetric groups Nawawi, Athirah Rowley, Peter J. 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. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57173/1/Description%20of%20the%20first%20disc%20%CE%941%28t%29%20of%20the%20commuting%20graph%20C%28G%2C%20X%29%20for%20elements%20of%20order%20three%20in%20symmetric%20groups.pdf 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). http://aip.scitation.org/doi/abs/10.1063/1.4952544 10.1063/1.4952544
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description 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.
format Conference or Workshop Item
author Nawawi, Athirah
Rowley, Peter J.
spellingShingle Nawawi, Athirah
Rowley, Peter J.
Description of the first disc Δ1(t) of the commuting graph C(G, X) for elements of order three in symmetric groups
author_facet Nawawi, Athirah
Rowley, Peter J.
author_sort Nawawi, Athirah
title Description of the first disc Δ1(t) of the commuting graph C(G, X) for elements of order three in symmetric groups
title_short Description of the first disc Δ1(t) of the commuting graph C(G, X) for elements of order three in symmetric groups
title_full Description of the first disc Δ1(t) of the commuting graph C(G, X) for elements of order three in symmetric groups
title_fullStr Description of the first disc Δ1(t) of the commuting graph C(G, X) for elements of order three in symmetric groups
title_full_unstemmed Description of the first disc Δ1(t) of the commuting graph C(G, X) for elements of order three in symmetric groups
title_sort description of the first disc δ1(t) of the commuting graph c(g, x) for elements of order three in symmetric groups
publisher AIP Publishing
publishDate 2016
url http://psasir.upm.edu.my/id/eprint/57173/1/Description%20of%20the%20first%20disc%20%CE%941%28t%29%20of%20the%20commuting%20graph%20C%28G%2C%20X%29%20for%20elements%20of%20order%20three%20in%20symmetric%20groups.pdf
http://psasir.upm.edu.my/id/eprint/57173/
http://aip.scitation.org/doi/abs/10.1063/1.4952544
_version_ 1643836406975430656
score 13.211869

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