Non-Normal Graph of Generalized Quaternion Group

Dwi Mifta Mahanani; Ari Andari; Darmajid; Natalia Mulyani; Nadea Rahmawati; Nicole Orleans Arviani

doi:10.1063/5.0262010

Non-Normal Graph of Generalized Quaternion Group

Dwi Mifta Mahanani^*
, Ari Andari
, Darmajid
, Natalia Mulyani
, Nadea Rahmawati
, Nicole Orleans Arviani

^*Corresponding author for this work

Faculty of Mathematics and Natural Sciences

Research output: Contribution to journal › Conference article › peer-review

Abstract

This study discusses how to construct the non-normal graph of a generalized quaternion group Q_!" for n ≥ 3. The subgroups associated with the graph which are considered in this writing are cyclic subgroups. The non-normal graph of the generalized quaternion group is a complete bipartite graph.

Original language	English
Article number	020072
Journal	AIP Conference Proceedings
Volume	3142
Issue number	1
DOIs	https://doi.org/10.1063/5.0262010
Publication status	Published - 31 Mar 2025
Event	8th Progressive and Fun Education International Conference, Profunedu 2023 - Malang, Indonesia Duration: 14 Sept 2022 → 16 Sept 2022

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10.1063/5.0262010

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title = "Non-Normal Graph of Generalized Quaternion Group",

abstract = "This study discusses how to construct the non-normal graph of a generalized quaternion group Q!{"} for n ≥ 3. The subgroups associated with the graph which are considered in this writing are cyclic subgroups. The non-normal graph of the generalized quaternion group is a complete bipartite graph.",

author = "Mahanani, \{Dwi Mifta\} and Ari Andari and Darmajid and Natalia Mulyani and Nadea Rahmawati and Arviani, \{Nicole Orleans\}",

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AU - Mahanani, Dwi Mifta

AU - Andari, Ari

AU - Darmajid,

AU - Mulyani, Natalia

AU - Rahmawati, Nadea

AU - Arviani, Nicole Orleans

PY - 2025/3/31

Y1 - 2025/3/31

N2 - This study discusses how to construct the non-normal graph of a generalized quaternion group Q!" for n ≥ 3. The subgroups associated with the graph which are considered in this writing are cyclic subgroups. The non-normal graph of the generalized quaternion group is a complete bipartite graph.

AB - This study discusses how to construct the non-normal graph of a generalized quaternion group Q!" for n ≥ 3. The subgroups associated with the graph which are considered in this writing are cyclic subgroups. The non-normal graph of the generalized quaternion group is a complete bipartite graph.

UR - https://www.scopus.com/pages/publications/105002328844

U2 - 10.1063/5.0262010

DO - 10.1063/5.0262010

M3 - Conference article

AN - SCOPUS:105002328844

SN - 0094-243X

VL - 3142

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

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M1 - 020072

T2 - 8th Progressive and Fun Education International Conference, Profunedu 2023

Y2 - 14 September 2022 through 16 September 2022

ER -

Non-Normal Graph of Generalized Quaternion Group

Abstract

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