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
格式: Article
出版: Southeast Asian Mathematical Society 2020
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在線閱讀:http://eprints.utm.my/id/eprint/93588/
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機構: Universiti Teknologi Malaysia
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總結: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.