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(...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57173/ 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 |
| _version_ | 1848853291238162432 |
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| author | Nawawi, Athirah Rowley, Peter J. |
| author_facet | Nawawi, Athirah Rowley, Peter J. |
| author_sort | Nawawi, Athirah |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T10:51:38Z |
| format | Conference or Workshop Item |
| id | upm-57173 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:51:38Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| 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 |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/57173/ http://psasir.upm.edu.my/id/eprint/57173/ http://psasir.upm.edu.my/id/eprint/57173/ 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 |