Sahimel Azwal, Sulaiman and Yuhani, Yusof and Shahoodh, Mohammed Khalid (2017) The Number of Compatible Pair of Actions for Cyclic Groups of 2-Power Order. International Journal of Simulation Systems, Science & Technology, 18 (4). 2.1-2.8. ISSN 1473-8031(Print); 1473-804x (Online). (Published)
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Abstract
The non-abelian tensor product of groups has its origins in the algebraic K-theory and homotopy theory. The nonabelian tensor product for a pair of groups is defined when the actions act compatibly on each other. This research is to determine the maximum number of a compatible pair of actions that can be identified between two cyclic groups of 2-power order for nonabelian tensor product. The compatible pair of actions between two cyclic groups of 2-power order can be found by using the necessary and sufficient conditions of two cyclic groups of 2-power order acting compatibly on each other. Hence, the number of the compatible pair of actions between two cyclic groups of the 2-power order is determined.
| Item Type: | Article |
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| Uncontrolled Keywords: | Compatible Actions, Cyclic Groups, Non-abelian Tensor Product |
| Subjects: | Q Science > QA Mathematics |
| Faculty/Division: | Faculty of Industrial Sciences And Technology |
| Depositing User: | Dr. Mohd Sham Mohamad |
| Date Deposited: | 18 Jan 2018 02:45 |
| Last Modified: | 18 Jan 2018 02:45 |
| URI: | http://umpir.ump.edu.my/id/eprint/20042 |
| Download Statistic: | View Download Statistics |
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