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The Number of Compatible Pair of Actions for Cyclic Groups of 2-Power Order

Sahimel Azwal, Sulaiman and Yuhani, Yusof and Shahoodh, Mohammed Khalid (2017) The Number of Compatible Pair of Actions for Cyclic Groups of 2-Power Order. International Journal of Simulation Systems, Science & Technology, 18 (4). 2.1-2.8. ISSN 1473-8031(Print); 1473-804x (Online)

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: Compatible Actions, Cyclic Groups, Non-abelian Tensor Product
Subjects: Q Science > QA Mathematics
Faculty/Division: Faculty of Industrial Sciences And Technology
Depositing User: Dr. Mohd Sham Mohamad
Date Deposited: 18 Jan 2018 02:45
Last Modified: 18 Jan 2018 02:45
URI: http://umpir.ump.edu.my/id/eprint/20042
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