Shahoodh, Mohammed Khalid and Yuhani, Yusof and Sahimel Azwal, Sulaiman (2017) Number of Compatible Pair of Actions For Finite Cyclic Groups of 3-Power Order. International Journal of Simulation Systems, Science & Technology, 18 (4). 1.1-1.4. ISSN 1473-8031(Print); 1473-804x (Online). (Published)
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Abstract
Compatible actions are important in determining the non-abelian tensor product. Different compatible pair of actions gives a different tensor product even for the same group. The purpose of this paper is to determine the exact number of compatible pair of actions for the finite cyclic groups of 3-power order. By using some properties of number theory, the number of the compatible pair of actions for finite cyclic groups of 3-power order with a specific order of actions is determined and given as a main result in this paper.
| Item Type: | Article |
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| Uncontrolled Keywords: | Non-abelian Tensor Product, Auto-morphism Group, Cyclic Groups, Number Theory |
| Subjects: | Q Science > QA Mathematics |
| Faculty/Division: | Faculty of Industrial Sciences And Technology |
| Depositing User: | Dr. Mohd Sham Mohamad |
| Date Deposited: | 18 Jan 2018 02:52 |
| Last Modified: | 18 Jan 2018 02:52 |
| URI: | http://umpir.ump.edu.my/id/eprint/20018 |
| Download Statistic: | View Download Statistics |
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