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Compatible Pair of Nontrivial Actions for Cyclic Groups of 3-Power Order

Shahoodh, Mohammed Khalid and Mohd Sham, Mohamad and Yuhani, Yusof and Sahimel Azwal, Sulaiman (2016) Compatible Pair of Nontrivial Actions for Cyclic Groups of 3-Power Order. In: Proceedings of The National Conference for Postgraduate Research (NCON-PGR 2016), 24-25 September 2016 , Universiti Malaysia Pahang (UMP), Pekan, Pahang. pp. 792-797..

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Abstract

A compatible action played an important role before computing the nonabelian tensor product. Number of compatible actions will give the different nonabelian tensor product. Thus, this paper present some exact number of compatible pairs of actions for cyclic groups focusing on groups of 3-power order. Some necessary and sufficient number theoretical conditions for a pair of cyclic groups of p-power order with nontrivial actions act compatibly on each other are applied to find the exact number of compatible pairs of actions. Group, Algorithm and Programming (GAP) software is used to find some examples on a different case. Results on the compatible pair of nontrivial actions of order three and nine are given.

Item Type: Conference or Workshop Item (Lecture)
Uncontrolled Keywords: Cyclic groups, Compatible actions, Nonabelian tensor product
Subjects: Q Science > QA Mathematics
Faculty/Division: Faculty of Industrial Sciences And Technology
Depositing User: Rosfadilla Mohamad Zainun
Date Deposited: 13 Dec 2016 01:59
Last Modified: 06 Feb 2018 02:26
URI: http://umpir.ump.edu.my/id/eprint/15753
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