UMP Institutional Repository

Compatible Pair of Actions for Two Same Cyclic Groups of 2-Power Order

Mohd Sham, Mohamad and Sahimel Azwal, Sulaiman and Yuhani, Yusof and Shahoodh, Mohammed Khalid (2017) Compatible Pair of Actions for Two Same Cyclic Groups of 2-Power Order. Journal of Physics: Conference series, 890 (012120). pp. 1-5. ISSN 1742-6588 (print); 1742-6596 (online)

[img]
Preview
PDF
fist-2017-Mohamad-Compatible Pair of Actions for Two Same.pdf
Available under License Creative Commons Attribution.

Download (219kB) | Preview

Abstract

The nonabelian tensor product is defined for a pair of groups which act on each other provided the actions satisfying the compatibility conditions. In this paper, the compatible pairs of actions and cyclic groups of the 2-power order are considered. The aim of this study is to investigate the number of the compatible pair of actions for two same cyclic groups of 2-power order with same order of actions. In attained the objectives stated, the necessary and sufficient conditions of cyclic groups of 2-power order act compatibly on each other are used. At the end of this paper, the exact number of compatible pair of actions for two same cyclic groups of 2-power order with a same order of actions is given.

Item Type: Article
Uncontrolled Keywords: Compatible actions, cyclic groups, nonabelian tensor product
Subjects: Q Science > QA Mathematics
Faculty/Division: Faculty of Industrial Sciences And Technology
Depositing User: Noorul Farina Arifin
Date Deposited: 16 Oct 2017 05:50
Last Modified: 17 May 2018 03:59
URI: http://umpir.ump.edu.my/id/eprint/18777
Download Statistic: View Download Statistics

Actions (login required)

View Item View Item