Number of Compatible Pair of Actions For Finite Cyclic Groups of 3-Power Order
Compatible actions are important in determining the non-abelian tensor product. Different compatible pair of actions gives a different tensor product even for the same group. The purpose of this paper is to determine the exact number of compatible pair of actions for the finite cyclic groups of 3-po...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
United Kingdom Simulation Society
2017
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| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/20018/1/ijssst%201.pdf http://umpir.ump.edu.my/id/eprint/20018/ http://ijssst.info/Vol-18/No-4/paper1.pdf |
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| Summary: | Compatible actions are important in determining the non-abelian tensor product. Different compatible pair of actions gives a different tensor product even for the same group. The purpose of this paper is to determine the exact number of compatible pair of actions for the finite cyclic groups of 3-power order. By using some properties of number theory, the number of the compatible pair of actions for finite cyclic groups of 3-power order with a specific order of actions is determined and given as a main result in this paper. |
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