The non-normal subgroup graph for some generalised quaternion groups

In this paper, the non-normal subgroup graphs of some generalised quaternion groups are constructed. The non-normal subgroups of the generalised quaternion groups are determined and furthermore the graph is constructed. The subgroup graph of a group G is defined as a directed simple graph with a ver...

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Main Authors: Rahin, Nabilah Fikriah, Sarmin, N. H., Ilangovan, Sheila
Format: Article
Published: Southeast Asian Mathematical Society 2020
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Online Access:http://eprints.utm.my/id/eprint/93588/
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Institution: Universiti Teknologi Malaysia
id my.utm.93588
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spelling my.utm.935882021-12-31T08:45:32Z http://eprints.utm.my/id/eprint/93588/ The non-normal subgroup graph for some generalised quaternion groups Rahin, Nabilah Fikriah Sarmin, N. H. Ilangovan, Sheila QA Mathematics In this paper, the non-normal subgroup graphs of some generalised quaternion groups are constructed. The non-normal subgroups of the generalised quaternion groups are determined and furthermore the graph is constructed. The subgroup graph of a group G is defined as a directed simple graph with a vertex set G and two distinct elements x and y are adjacent if xy ∊ H. Southeast Asian Mathematical Society 2020-10 Article PeerReviewed Rahin, Nabilah Fikriah and Sarmin, N. H. and Ilangovan, Sheila (2020) The non-normal subgroup graph for some generalised quaternion groups. Southeast Asian Bulletin of Mathematics, 44 (6). pp. 845-851. ISSN 0129-2021
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/
topic QA Mathematics
spellingShingle QA Mathematics
Rahin, Nabilah Fikriah
Sarmin, N. H.
Ilangovan, Sheila
The non-normal subgroup graph for some generalised quaternion groups
description In this paper, the non-normal subgroup graphs of some generalised quaternion groups are constructed. The non-normal subgroups of the generalised quaternion groups are determined and furthermore the graph is constructed. The subgroup graph of a group G is defined as a directed simple graph with a vertex set G and two distinct elements x and y are adjacent if xy ∊ H.
format Article
author Rahin, Nabilah Fikriah
Sarmin, N. H.
Ilangovan, Sheila
author_facet Rahin, Nabilah Fikriah
Sarmin, N. H.
Ilangovan, Sheila
author_sort Rahin, Nabilah Fikriah
title The non-normal subgroup graph for some generalised quaternion groups
title_short The non-normal subgroup graph for some generalised quaternion groups
title_full The non-normal subgroup graph for some generalised quaternion groups
title_fullStr The non-normal subgroup graph for some generalised quaternion groups
title_full_unstemmed The non-normal subgroup graph for some generalised quaternion groups
title_sort non-normal subgroup graph for some generalised quaternion groups
publisher Southeast Asian Mathematical Society
publishDate 2020
url http://eprints.utm.my/id/eprint/93588/
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