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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...

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Main Authors: Mohd Kasim, Suzila, Nawawi, Athirah, Said Husain, Sharifah Kartini, Ibrahim, Siti Nur Iqmal
Format: Article
Language:English
Published: Medwell Publications 2019
Online Access:http://psasir.upm.edu.my/id/eprint/82390/1/The%20disc%20structures.pdf
http://psasir.upm.edu.my/id/eprint/82390/
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spelling my.upm.eprints.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
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 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.
format Article
author Mohd Kasim, Suzila
Nawawi, Athirah
Said Husain, Sharifah Kartini
Ibrahim, Siti Nur Iqmal
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
author_facet Mohd Kasim, Suzila
Nawawi, Athirah
Said Husain, Sharifah Kartini
Ibrahim, Siti Nur Iqmal
author_sort Mohd Kasim, Suzila
title 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_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_sort disc structures of commuting involution graphs for certain simple groups
publisher Medwell Publications
publishDate 2019
url http://psasir.upm.edu.my/id/eprint/82390/1/The%20disc%20structures.pdf
http://psasir.upm.edu.my/id/eprint/82390/
_version_ 1681490854201524224
score 13.160551

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