Compatible Pair Of Nontrivial Action For Finite Cyclic 2-Groups
The nonabelian tensor product for a pair of groups is defined when the action act compatibly on each other. By using the necessary and sufficient conditions of two finite cyclic 2-groups, the compatible pairs of nontrivial actions for two same finite cyclic 2-groups with same order of actions are de...
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Main Authors: | , , , |
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Format: | Conference or Workshop Item |
Language: | English |
Published: |
Universiti Malaysia Pahang
2016
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Subjects: | |
Online Access: | http://umpir.ump.edu.my/id/eprint/15015/1/P005%20pg39-42.pdf http://umpir.ump.edu.my/id/eprint/15015/ http://ee.ump.edu.my/ncon/wp-content/uploads/2016/10/Proceeding-NCON-PGR-2016.zip |
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Summary: | The nonabelian tensor product for a pair of groups is defined when the action act compatibly on each other. By using the necessary and sufficient conditions of two finite cyclic 2-groups, the compatible pairs of nontrivial actions for two same finite cyclic 2-groups with same order of actions are determined. Then, the general exact number of compatible pairs of nontrivial actions for two same finite cyclic 2-groups with same order of actions is given. |
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