The compatible action graphs for finite cyclic 2-groups

Authors

  • S.A. Sulaiman Centre for Mathematical Sciences, College of Computing and Applied Sciences, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 26300 Gambang, Kuantan, Pahang, Malaysia
  • M.S. Mohamed Centre for Mathematical Sciences, College of Computing and Applied Sciences, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 26300 Gambang, Kuantan, Pahang, Malaysia
  • Y. Yusof Centre for Mathematical Sciences, College of Computing and Applied Sciences, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 26300 Gambang, Kuantan, Pahang, Malaysia
  • M.K. Shahoodh Al-Ramadi Education/ Al-Idresi Secondary School for Girls, Ministry of Education, Baghdad, Iraq
  • H.A. Hamid Institute of Engineering Mathematics, Faculty of Applied and Human Sciences, Universiti Malaysia Perlis (UniMAP), Kampus Pauh Putra, 02600 Arau, Perlis, Malaysia

DOI:

https://doi.org/10.15282/daam.v1i01.5111

Keywords:

Compatible action; cyclic group; compatible action graph; the nonabelian tensor product.

Abstract

A graph namely the compatible action graph is introduced by extending the results on the compatible pairs of actions for cyclic 2-groups. Some properties of compatible action graphs are presented. In addition, the special types of compatible action graphs are given.

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Published

2020-12-01 — Updated on 2022-07-04

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Issue

Vol. 1 No. 1: December 2020

Section

Research Articles

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Copyright (c) 2020 UMP Press

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This work is licensed under a Creative Commons Attribution 4.0 International License.