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The compatible action graphs for finite cyclic 2-groups

Authors

S.A. Sulaiman Universiti Malaysia Pahang
M.S. Mohamed Universiti Malaysia Pahang
Y. Yusof Universiti Malaysia Pahang
M.K. Shahoodh Al-Ramadi Education/Al-Idresi Secondray School for Girls
H.A. Hamid Universiti Malaysia Perlis

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.