Compressive of the first disc Δı (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 Δı (t) o...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIP Publishing
2016
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/53884/1/Compressive%20of%20the%20first%20disc%20%CE%94%C4%B1%20%28t%29%20of%20the%20commuting%20graph%20C%20%28G%2C%20X%29%20for%20elements%20of%20order%20three%20in%20symmetric%20groups.pdf |
| _version_ | 1825930935422418944 |
|---|---|
| author | Nawawi, Athirah Rowley, Peter |
| author_facet | Nawawi, Athirah Rowley, Peter |
| author_sort | Nawawi, Athirah |
| collection | UPM |
| 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 Δı (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 | 2024-03-06T09:19:07Z |
| format | Article |
| id | upm.eprints-53884 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:19:07Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| record_format | dspace |
| spelling | upm.eprints-538842019-05-15T01:41:24Z http://psasir.upm.edu.my/id/eprint/53884/ Compressive of the first disc Δı (t) of the commuting graph C (G, X) for elements of order three in symmetric groups Nawawi, Athirah Rowley, Peter 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 Δı (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 2016-06 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/53884/1/Compressive%20of%20the%20first%20disc%20%CE%94%C4%B1%20%28t%29%20of%20the%20commuting%20graph%20C%20%28G%2C%20X%29%20for%20elements%20of%20order%20three%20in%20symmetric%20groups.pdf Nawawi, Athirah and Rowley, Peter (2016) Compressive of the first disc Δı (t) of the commuting graph C (G, X) for elements of order three in symmetric groups. AIP Conference Proceedings, 1739 (1). pp. 1-4. ISSN 0094-243X; ESSN: 1551-7616 https://aip.scitation.org/doi/pdf/10.1063/1.4952544 10.1063/1.4952544 |
| spellingShingle | Nawawi, Athirah Rowley, Peter Compressive of the first disc Δı (t) of the commuting graph C (G, X) for elements of order three in symmetric groups |
| title | Compressive of the first disc Δı (t) of the commuting graph C (G, X) for elements of order three in symmetric groups |
| title_full | Compressive of the first disc Δı (t) of the commuting graph C (G, X) for elements of order three in symmetric groups |
| title_fullStr | Compressive of the first disc Δı (t) of the commuting graph C (G, X) for elements of order three in symmetric groups |
| title_full_unstemmed | Compressive of the first disc Δı (t) of the commuting graph C (G, X) for elements of order three in symmetric groups |
| title_short | Compressive of the first disc Δı (t) of the commuting graph C (G, X) for elements of order three in symmetric groups |
| title_sort | compressive of the first disc δi t of the commuting graph c g x for elements of order three in symmetric groups |
| url | http://psasir.upm.edu.my/id/eprint/53884/1/Compressive%20of%20the%20first%20disc%20%CE%94%C4%B1%20%28t%29%20of%20the%20commuting%20graph%20C%20%28G%2C%20X%29%20for%20elements%20of%20order%20three%20in%20symmetric%20groups.pdf |
| work_keys_str_mv | AT nawawiathirah compressiveofthefirstdiscdıtofthecommutinggraphcgxforelementsoforderthreeinsymmetricgroups AT rowleypeter compressiveofthefirstdiscdıtofthecommutinggraphcgxforelementsoforderthreeinsymmetricgroups |