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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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2017
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| Subjects: | |
| Online Access: | 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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| Summary: | 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. |
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