Compatible Pair of Nontrivial Actions for Some Cyclic Groups of 2-Power Order
Compatible action played a very important verification before the nonabelian tensor product can be computed. This paper gives the some exact number of compatible pairs of actions for some cyclic groups of 2-power order. Some necessary and sufficient number theoretical conditions for a pair of cyclic...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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2015
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| Online Access: | http://umpir.ump.edu.my/id/eprint/6630/ http://umpir.ump.edu.my/id/eprint/6630/1/fist-2014-sahimel-Compatible_Pair_of_Nontrivial.pdf |
| _version_ | 1848817819908571136 |
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| author | Sahimel Azwal, Sulaiman Mohd Sham, Mohamad Yuhani, Yusof |
| author_facet | Sahimel Azwal, Sulaiman Mohd Sham, Mohamad Yuhani, Yusof |
| author_sort | Sahimel Azwal, Sulaiman |
| building | UMP Institutional Repository |
| collection | Online Access |
| description | Compatible action played a very important verification before the nonabelian tensor product can be computed. This paper gives the some exact number of compatible pairs of actions for some cyclic groups of 2-power order. Some necessary and sufficient number theoretical conditions for a pair of cyclic groups of 2-power order with nontrivial actions act compatibly on each other are used to investigate some properties to find the exact number of compatible pairs of actions. Algorithms in Groups, Algorithms and Programming (GAP) software are constructed to create more examples on selected case. New results on compatible pair of nontrivial actions of order two and four are given. |
| first_indexed | 2025-11-15T01:27:50Z |
| format | Conference or Workshop Item |
| id | ump-6630 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T01:27:50Z |
| publishDate | 2015 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-66302018-02-06T03:22:38Z http://umpir.ump.edu.my/id/eprint/6630/ Compatible Pair of Nontrivial Actions for Some Cyclic Groups of 2-Power Order Sahimel Azwal, Sulaiman Mohd Sham, Mohamad Yuhani, Yusof QA Mathematics QA76 Computer software Compatible action played a very important verification before the nonabelian tensor product can be computed. This paper gives the some exact number of compatible pairs of actions for some cyclic groups of 2-power order. Some necessary and sufficient number theoretical conditions for a pair of cyclic groups of 2-power order with nontrivial actions act compatibly on each other are used to investigate some properties to find the exact number of compatible pairs of actions. Algorithms in Groups, Algorithms and Programming (GAP) software are constructed to create more examples on selected case. New results on compatible pair of nontrivial actions of order two and four are given. 2015 Conference or Workshop Item PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/6630/1/fist-2014-sahimel-Compatible_Pair_of_Nontrivial.pdf Sahimel Azwal, Sulaiman and Mohd Sham, Mohamad and Yuhani, Yusof (2015) Compatible Pair of Nontrivial Actions for Some Cyclic Groups of 2-Power Order. In: AIP Conference Proceeding, 700, 1643 :The 2nd ISM International Statistical Conference (ISM-II 2014) , 12-14 August 2014 , MS Garden Hotel, Kuantan. p. 700.. (Published) http://dx.doi.org/10.1063/1.4907515 |
| spellingShingle | QA Mathematics QA76 Computer software Sahimel Azwal, Sulaiman Mohd Sham, Mohamad Yuhani, Yusof Compatible Pair of Nontrivial Actions for Some Cyclic Groups of 2-Power Order |
| title | Compatible Pair of Nontrivial Actions for Some Cyclic Groups of 2-Power Order |
| title_full | Compatible Pair of Nontrivial Actions for Some Cyclic Groups of 2-Power Order |
| title_fullStr | Compatible Pair of Nontrivial Actions for Some Cyclic Groups of 2-Power Order |
| title_full_unstemmed | Compatible Pair of Nontrivial Actions for Some Cyclic Groups of 2-Power Order |
| title_short | Compatible Pair of Nontrivial Actions for Some Cyclic Groups of 2-Power Order |
| title_sort | compatible pair of nontrivial actions for some cyclic groups of 2-power order |
| topic | QA Mathematics QA76 Computer software |
| url | http://umpir.ump.edu.my/id/eprint/6630/ http://umpir.ump.edu.my/id/eprint/6630/ http://umpir.ump.edu.my/id/eprint/6630/1/fist-2014-sahimel-Compatible_Pair_of_Nontrivial.pdf |