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). (Published)
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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 |
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| 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 |
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