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Number of Compatible Pair of Actions For Finite Cyclic Groups of 3-Power Order

Shahoodh, Mohammed Khalid and Yuhani, Yusof and Sahimel Azwal, Sulaiman (2017) Number of Compatible Pair of Actions For Finite Cyclic Groups of 3-Power Order. International Journal of Simulation Systems, Science & Technology, 18 (4). 1.1-1.4. ISSN 1473-8031(Print); 1473-804x (Online)

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: Non-abelian Tensor Product, Auto-morphism Group, Cyclic Groups, Number Theory
Subjects: Q Science > QA Mathematics
Faculty/Division: Faculty of Industrial Sciences And Technology
Depositing User: Dr. Mohd Sham Mohamad
Date Deposited: 18 Jan 2018 02:52
Last Modified: 18 Jan 2018 02:52
URI: http://umpir.ump.edu.my/id/eprint/20018
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