The disc structures of commuting involution graphs for certain simple groups
Suppose is a finite group and is a subset of. The commuting graph on the set , whose vertex set with any two vertices connected by an edge if and only if they commute. In this paper, we consider as the Mathieu groups, symplectic groups, together with their automorphism groups and are conjugacy class...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Medwell Publications
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/82390/ http://psasir.upm.edu.my/id/eprint/82390/1/The%20disc%20structures.pdf |
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| author | Mohd Kasim, Suzila Nawawi, Athirah Said Husain, Sharifah Kartini Ibrahim, Siti Nur Iqmal |
| author_facet | Mohd Kasim, Suzila Nawawi, Athirah Said Husain, Sharifah Kartini Ibrahim, Siti Nur Iqmal |
| author_sort | Mohd Kasim, Suzila |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Suppose is a finite group and is a subset of. The commuting graph on the set , whose vertex set with any two vertices connected by an edge if and only if they commute. In this paper, we consider as the Mathieu groups, symplectic groups, together with their automorphism groups and are conjugacy classes of involutions. Let. Here we investigate the orbits under the action of from a fixed vertex and describe the group theoretic structure of where is a-orbit representative. |
| first_indexed | 2025-11-15T12:26:53Z |
| format | Article |
| id | upm-82390 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:26:53Z |
| publishDate | 2019 |
| publisher | Medwell Publications |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-823902020-10-16T14:12:56Z http://psasir.upm.edu.my/id/eprint/82390/ The disc structures of commuting involution graphs for certain simple groups Mohd Kasim, Suzila Nawawi, Athirah Said Husain, Sharifah Kartini Ibrahim, Siti Nur Iqmal Suppose is a finite group and is a subset of. The commuting graph on the set , whose vertex set with any two vertices connected by an edge if and only if they commute. In this paper, we consider as the Mathieu groups, symplectic groups, together with their automorphism groups and are conjugacy classes of involutions. Let. Here we investigate the orbits under the action of from a fixed vertex and describe the group theoretic structure of where is a-orbit representative. Medwell Publications 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/82390/1/The%20disc%20structures.pdf Mohd Kasim, Suzila and Nawawi, Athirah and Said Husain, Sharifah Kartini and Ibrahim, Siti Nur Iqmal (2019) The disc structures of commuting involution graphs for certain simple groups. Journal of Engineering and Applied Sciences, 14 (13). pp. 4583-4589. ISSN 1816-949X 10.3923/jeasci.2019.4583.4589 |
| spellingShingle | Mohd Kasim, Suzila Nawawi, Athirah Said Husain, Sharifah Kartini Ibrahim, Siti Nur Iqmal The disc structures of commuting involution graphs for certain simple groups |
| title | The disc structures of commuting involution graphs for certain simple groups |
| title_full | The disc structures of commuting involution graphs for certain simple groups |
| title_fullStr | The disc structures of commuting involution graphs for certain simple groups |
| title_full_unstemmed | The disc structures of commuting involution graphs for certain simple groups |
| title_short | The disc structures of commuting involution graphs for certain simple groups |
| title_sort | disc structures of commuting involution graphs for certain simple groups |
| url | http://psasir.upm.edu.my/id/eprint/82390/ http://psasir.upm.edu.my/id/eprint/82390/ http://psasir.upm.edu.my/id/eprint/82390/1/The%20disc%20structures.pdf |