Compatible Pair of Actions for Two Same Cyclic Groups of 2-Power Order
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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2017
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| Online Access: | http://umpir.ump.edu.my/id/eprint/18777/1/fist-2017-Mohamad-Compatible%20Pair%20of%20Actions%20for%20Two%20Same.pdf |
| _version_ | 1825823928968282112 |
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| author | Mohd Sham, Mohamad Sahimel Azwal, Sulaiman Yuhani, Yusof Shahoodh, Mohammed Khalid |
| author_facet | Mohd Sham, Mohamad Sahimel Azwal, Sulaiman Yuhani, Yusof Shahoodh, Mohammed Khalid |
| author_sort | Mohd Sham, Mohamad |
| collection | UMP |
| description | 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. |
| first_indexed | 2024-03-06T12:18:24Z |
| format | Article |
| id | UMPir18777 |
| institution | Universiti Malaysia Pahang |
| language | English |
| last_indexed | 2024-03-06T12:18:24Z |
| publishDate | 2017 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | UMPir187772018-05-17T03:59:33Z http://umpir.ump.edu.my/id/eprint/18777/ Compatible Pair of Actions for Two Same Cyclic Groups of 2-Power Order Mohd Sham, Mohamad Sahimel Azwal, Sulaiman Yuhani, Yusof Shahoodh, Mohammed Khalid QA Mathematics 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. IOP Publishing 2017 Article PeerReviewed application/pdf en cc_by http://umpir.ump.edu.my/id/eprint/18777/1/fist-2017-Mohamad-Compatible%20Pair%20of%20Actions%20for%20Two%20Same.pdf 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) http://dx.doi.org/10.1088/1742-6596/890/1/012120 doi: 10.1088/1742-6596/890/1/012120 |
| spellingShingle | QA Mathematics Mohd Sham, Mohamad Sahimel Azwal, Sulaiman Yuhani, Yusof Shahoodh, Mohammed Khalid Compatible Pair of Actions for Two Same Cyclic Groups of 2-Power Order |
| title | Compatible Pair of Actions for Two Same Cyclic Groups of 2-Power Order |
| title_full | Compatible Pair of Actions for Two Same Cyclic Groups of 2-Power Order |
| title_fullStr | Compatible Pair of Actions for Two Same Cyclic Groups of 2-Power Order |
| title_full_unstemmed | Compatible Pair of Actions for Two Same Cyclic Groups of 2-Power Order |
| title_short | Compatible Pair of Actions for Two Same Cyclic Groups of 2-Power Order |
| title_sort | compatible pair of actions for two same cyclic groups of 2 power order |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/18777/1/fist-2017-Mohamad-Compatible%20Pair%20of%20Actions%20for%20Two%20Same.pdf |
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