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...
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my.ump.umpir.187772018-05-17T03:59:33Z 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) http://dx.doi.org/10.1088/1742-6596/890/1/012120 doi: 10.1088/1742-6596/890/1/012120 |
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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 |
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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. |
format |
Article |
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 |
title |
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_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_sort |
compatible pair of actions for two same cyclic groups of 2-power order |
publisher |
IOP Publishing |
publishDate |
2017 |
url |
http://umpir.ump.edu.my/id/eprint/18777/1/fist-2017-Mohamad-Compatible%20Pair%20of%20Actions%20for%20Two%20Same.pdf http://umpir.ump.edu.my/id/eprint/18777/ http://dx.doi.org/10.1088/1742-6596/890/1/012120 |
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13.18916 |