Compatible pair of nontrivial actions for some cyclic groups of 2-power order
Compatible actions play 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 numbers of theoretical conditions for a pair of cyc...
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my.utm.591972021-08-22T04:19:58Z http://eprints.utm.my/id/eprint/59197/ Compatible pair of nontrivial actions for some cyclic groups of 2-power order Sulaiman, Sahimel Azwal Mohamad, Mohd. Sham Yusof, Yuhani Sarmin, Nor Haniza Mohd. Ali, Nor Muhainiah Tan, Lit Ken Ahmad, Tahir Q Science (General) Compatible actions play 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 numbers of theoretical conditions for a pair of cyclic groups of 2-power order with nontrivial actions which act compatibly on each other are used to investigate some properties in order to find the exact number of compatible pairs of actions. Algorithms in Groups, Algorithms and Programming (GAP) software are used to create more examples on selected cases. New results on compatible pair of nontrivial actions of order two and four for cyclic groups of 2-power order are presented in this paper. 2015 Conference or Workshop Item PeerReviewed Sulaiman, Sahimel Azwal and Mohamad, Mohd. Sham and Yusof, Yuhani and Sarmin, Nor Haniza and Mohd. Ali, Nor Muhainiah and Tan, Lit Ken and Ahmad, Tahir (2015) Compatible pair of nontrivial actions for some cyclic groups of 2-power order. In: 2nd ISM International Statistical Conference 2014: Empowering the Applications of Statistical and Mathematical Sciences, ISM 2014, 12 August 2014 - 14 August 2014, Kuantan, Pahang, Malaysia. http://dx.doi.org/10.1063/1.4907515 |
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Q Science (General) Sulaiman, Sahimel Azwal Mohamad, Mohd. Sham Yusof, Yuhani Sarmin, Nor Haniza Mohd. Ali, Nor Muhainiah Tan, Lit Ken Ahmad, Tahir Compatible pair of nontrivial actions for some cyclic groups of 2-power order |
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Compatible actions play 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 numbers of theoretical conditions for a pair of cyclic groups of 2-power order with nontrivial actions which act compatibly on each other are used to investigate some properties in order to find the exact number of compatible pairs of actions. Algorithms in Groups, Algorithms and Programming (GAP) software are used to create more examples on selected cases. New results on compatible pair of nontrivial actions of order two and four for cyclic groups of 2-power order are presented in this paper. |
format |
Conference or Workshop Item |
author |
Sulaiman, Sahimel Azwal Mohamad, Mohd. Sham Yusof, Yuhani Sarmin, Nor Haniza Mohd. Ali, Nor Muhainiah Tan, Lit Ken Ahmad, Tahir |
author_facet |
Sulaiman, Sahimel Azwal Mohamad, Mohd. Sham Yusof, Yuhani Sarmin, Nor Haniza Mohd. Ali, Nor Muhainiah Tan, Lit Ken Ahmad, Tahir |
author_sort |
Sulaiman, Sahimel Azwal |
title |
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_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_sort |
compatible pair of nontrivial actions for some cyclic groups of 2-power order |
publishDate |
2015 |
url |
http://eprints.utm.my/id/eprint/59197/ http://dx.doi.org/10.1063/1.4907515 |
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1709667350816489472 |
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13.160551 |