The Number of Compatible Pair of Actions for Cyclic Groups of 2-Power Order
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 c...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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United Kingdom Simulation Society
2017
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| Online Access: | http://umpir.ump.edu.my/id/eprint/20042/1/ijssst%202.pdf |
| _version_ | 1796992495944466432 |
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| author | Sahimel Azwal, Sulaiman Yuhani, Yusof Shahoodh, Mohammed Khalid |
| author_facet | Sahimel Azwal, Sulaiman Yuhani, Yusof Shahoodh, Mohammed Khalid |
| author_sort | Sahimel Azwal, Sulaiman |
| collection | UMP |
| description | 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. |
| first_indexed | 2024-03-06T12:20:57Z |
| format | Article |
| id | UMPir20042 |
| institution | Universiti Malaysia Pahang |
| language | English |
| last_indexed | 2024-03-06T12:20:57Z |
| publishDate | 2017 |
| publisher | United Kingdom Simulation Society |
| record_format | dspace |
| spelling | UMPir200422018-01-18T02:45:39Z http://umpir.ump.edu.my/id/eprint/20042/ The Number of Compatible Pair of Actions for Cyclic Groups of 2-Power Order Sahimel Azwal, Sulaiman Yuhani, Yusof Shahoodh, Mohammed Khalid QA Mathematics 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. United Kingdom Simulation Society 2017-12 Article PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/20042/1/ijssst%202.pdf 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) http://ijssst.info/Vol-18/No-4/paper2.pdf DOI 10.5013/IJSSST.a.18.04.02 |
| spellingShingle | QA Mathematics Sahimel Azwal, Sulaiman Yuhani, Yusof Shahoodh, Mohammed Khalid The Number of Compatible Pair of Actions for Cyclic Groups of 2-Power Order |
| title | The Number of Compatible Pair of Actions for Cyclic Groups of 2-Power Order |
| title_full | The Number of Compatible Pair of Actions for Cyclic Groups of 2-Power Order |
| title_fullStr | The Number of Compatible Pair of Actions for Cyclic Groups of 2-Power Order |
| title_full_unstemmed | The Number of Compatible Pair of Actions for Cyclic Groups of 2-Power Order |
| title_short | The Number of Compatible Pair of Actions for Cyclic Groups of 2-Power Order |
| title_sort | number of compatible pair of actions for cyclic groups of 2 power order |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/20042/1/ijssst%202.pdf |
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