The Number of Compatible Pair of Actions for Cyclic Groups of 2-Power Order
The non-abelian tensor product of groups has its origins in the algebraic K-theory and homotopy theory. The nonabelian tensor product for a pair of groups is defined when the actions act compatibly on each other. This research is to determine the maximum number of a compatible pair of actions that c...
| 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/20042/1/ijssst%202.pdf |
| Summary: | The non-abelian tensor product of groups has its origins in the algebraic K-theory and homotopy theory. The nonabelian tensor product for a pair of groups is defined when the actions act compatibly on each other. This research is to determine the maximum number of a compatible pair of actions that can be identified between two cyclic groups of 2-power order for nonabelian tensor product. The compatible pair of actions between two cyclic groups of 2-power order can be found by using the necessary and sufficient conditions of two cyclic groups of 2-power order acting compatibly on each other. Hence, the number of the compatible pair of actions between two cyclic groups of the 2-power order is determined. |
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