Number of Compatible Pair for Nontrivial Actions of Finite Cyclic 2-Groups
The nonabelian 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 action act compatibly on each other. The compatible pair for nontrivial actions for finite cyclic 2-groups can be found by us...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
Universiti Teknologi Malaysia
2016
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| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/16067/ http://umpir.ump.edu.my/id/eprint/16067/ http://umpir.ump.edu.my/id/eprint/16067/1/39.-2016-Compatible-Pair-Of-Nontrivial-Action-For-Finite-Cyclic-2-Groups.pdf |
| Summary: | The nonabelian 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
action act compatibly on each other. The compatible pair for nontrivial actions for finite cyclic 2-groups can be found by using the necessary and sufficient conditions of two finite cyclic 2-groups act compatibly on each other. Hence, the exact number of compatible pair of nontrivial actions for finite cyclic 2-groups are computed and given as a main result in this paper. |
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