The non-normal subgroup graph of some dihedral groups

Let be a finite groupand is a subgroup of. The subgroup graph of in is defined as a directed simple graph with vertex set and two distinct elements and are adjacent if and only if ∈. In this paper, the work on subgroup graph is extended by defining a new graph called the non-normal subgroup graph. T...

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Main Authors: Rahin, Nabilah Fikriah, Sarmin, Nor Haniza, Ilangovan, Sheila
Format: Article
Language:English
Published: Akademi Sains Malaysia 2020
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Online Access:http://eprints.utm.my/id/eprint/87008/1/NorHanizaSarmin2020_TheNon-NormalSubgroupGraphofSomeDihedralGroups.pdf
http://eprints.utm.my/id/eprint/87008/
http://dx.doi.org/10.32802/asmscj.2020.sm26(1.26)
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Institution: Universiti Teknologi Malaysia
Language: English
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spelling my.utm.870082020-10-22T04:53:29Z http://eprints.utm.my/id/eprint/87008/ The non-normal subgroup graph of some dihedral groups Rahin, Nabilah Fikriah Sarmin, Nor Haniza Ilangovan, Sheila QA Mathematics Let be a finite groupand is a subgroup of. The subgroup graph of in is defined as a directed simple graph with vertex set and two distinct elements and are adjacent if and only if ∈. In this paper, the work on subgroup graph is extended by defining a new graph called the non-normal subgroup graph. The subgroup graph is determined for some dihedral groupsof order 2 when the subgroup is non-normal. Akademi Sains Malaysia 2020 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/87008/1/NorHanizaSarmin2020_TheNon-NormalSubgroupGraphofSomeDihedralGroups.pdf Rahin, Nabilah Fikriah and Sarmin, Nor Haniza and Ilangovan, Sheila (2020) The non-normal subgroup graph of some dihedral groups. ASM Science Journal, 13 . pp. 1-7. ISSN 1823-6782 http://dx.doi.org/10.32802/asmscj.2020.sm26(1.26)
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Rahin, Nabilah Fikriah
Sarmin, Nor Haniza
Ilangovan, Sheila
The non-normal subgroup graph of some dihedral groups
description Let be a finite groupand is a subgroup of. The subgroup graph of in is defined as a directed simple graph with vertex set and two distinct elements and are adjacent if and only if ∈. In this paper, the work on subgroup graph is extended by defining a new graph called the non-normal subgroup graph. The subgroup graph is determined for some dihedral groupsof order 2 when the subgroup is non-normal.
format Article
author Rahin, Nabilah Fikriah
Sarmin, Nor Haniza
Ilangovan, Sheila
author_facet Rahin, Nabilah Fikriah
Sarmin, Nor Haniza
Ilangovan, Sheila
author_sort Rahin, Nabilah Fikriah
title The non-normal subgroup graph of some dihedral groups
title_short The non-normal subgroup graph of some dihedral groups
title_full The non-normal subgroup graph of some dihedral groups
title_fullStr The non-normal subgroup graph of some dihedral groups
title_full_unstemmed The non-normal subgroup graph of some dihedral groups
title_sort non-normal subgroup graph of some dihedral groups
publisher Akademi Sains Malaysia
publishDate 2020
url http://eprints.utm.my/id/eprint/87008/1/NorHanizaSarmin2020_TheNon-NormalSubgroupGraphofSomeDihedralGroups.pdf
http://eprints.utm.my/id/eprint/87008/
http://dx.doi.org/10.32802/asmscj.2020.sm26(1.26)
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