Compatible Pair of Nontrivial Actions for Some Cyclic Groups of 2-Power Order

Sahimel Azwal, Sulaiman and Mohd Sham, Mohamad and Yuhani, Yusof (2015) Compatible Pair of Nontrivial Actions for Some Cyclic Groups of 2-Power Order. In: AIP Conference Proceeding, 700, 1643 :The 2nd ISM International Statistical Conference (ISM-II 2014) , 12-14 August 2014 , MS Garden Hotel, Kuantan. p. 700..

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Compatible action played a very important verification before the nonabelian tensor product can be computed. This paper gives the some exact number of compatible pairs of actions for some cyclic groups of 2-power order. Some necessary and sufficient number theoretical conditions for a pair of cyclic groups of 2-power order with nontrivial actions act compatibly on each other are used to investigate some properties to find the exact number of compatible pairs of actions. Algorithms in Groups, Algorithms and Programming (GAP) software are constructed to create more examples on selected case. New results on compatible pair of nontrivial actions of order two and four are given.

Item Type: Conference or Workshop Item (Speech)
Additional Information: ISBN: 978-0-7354-1281-1
Uncontrolled Keywords: Computer software; Group theory; Number theory; Tensor methods
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA76 Computer software
Faculty/Division: Faculty of Industrial Sciences And Technology
Depositing User: Noorul Farina Arifin
Date Deposited: 10 Sep 2014 07:40
Last Modified: 06 Feb 2018 03:22
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