The compatible action graphs for finite cyclic 2-groups

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


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.