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Compatible pair of nontrivial actions for some cyclic groups of 2-power order

Sahimel Azwal, Sulaiman and Mohd Sham, Mohamad and Yuhani, Yusof and Nor Haniza, Sarmin and Nor Muhainiah, Mohd Ali and Tan, Lit Ken and Tahir, Shah (2015) Compatible pair of nontrivial actions for some cyclic groups of 2-power order. In: AIP Conference Proceedings: The 2nd ISM International Statistical Conference 2014 (ISM-II), 12-14 August 2014 , Kuantan, Pahang, Malaysia. pp. 700-705., 1643. ISSN 0094-243X ISBN 978-0-7354-1281-1

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Abstract

Compatible actions play 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 numbers of theoretical conditions for a pair of cyclic groups of 2-power order with nontrivial actions which act compatibly on each other are used to investigate some properties in order to find the exact number of compatible pairs of actions. Algorithms in Groups, Algorithms and Programming (GAP) software are used to create more examples on selected cases. New results on compatible pair of nontrivial actions of order two and four for cyclic groups of 2-power order are presented in this paper.

Item Type: Conference or Workshop Item (Lecture)
Uncontrolled Keywords: Compatible actions; Cyclic groups; Nonabelian tensor Product
Subjects: Q Science > QA Mathematics
Faculty/Division: Faculty of Industrial Sciences And Technology
Depositing User: Dr. Yuhani Yusof
Date Deposited: 24 Feb 2017 05:38
Last Modified: 04 Apr 2018 07:10
URI: http://umpir.ump.edu.my/id/eprint/16498
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