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

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-po...

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Main Authors: Shahoodh, Mohammed Khalid, Yuhani, Yusof, Sahimel Azwal, Sulaiman
Format: Article
Language:English
Published: United Kingdom Simulation Society 2017
Subjects:
Online Access:http://umpir.ump.edu.my/id/eprint/20018/1/ijssst%201.pdf
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author Shahoodh, Mohammed Khalid
Yuhani, Yusof
Sahimel Azwal, Sulaiman
author_facet Shahoodh, Mohammed Khalid
Yuhani, Yusof
Sahimel Azwal, Sulaiman
author_sort Shahoodh, Mohammed Khalid
collection UMP
description 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.
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spelling UMPir200182018-01-18T02:52:13Z http://umpir.ump.edu.my/id/eprint/20018/ Number of Compatible Pair of Actions For Finite Cyclic Groups of 3-Power Order Shahoodh, Mohammed Khalid Yuhani, Yusof Sahimel Azwal, Sulaiman QA Mathematics 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. United Kingdom Simulation Society 2017-12 Article PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/20018/1/ijssst%201.pdf 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). (Published) http://ijssst.info/Vol-18/No-4/paper1.pdf 10.5013/IJSSST.a.18.04.01
spellingShingle QA Mathematics
Shahoodh, Mohammed Khalid
Yuhani, Yusof
Sahimel Azwal, Sulaiman
Number of Compatible Pair of Actions For Finite Cyclic Groups of 3-Power Order
title Number of Compatible Pair of Actions For Finite Cyclic Groups of 3-Power Order
title_full Number of Compatible Pair of Actions For Finite Cyclic Groups of 3-Power Order
title_fullStr Number of Compatible Pair of Actions For Finite Cyclic Groups of 3-Power Order
title_full_unstemmed Number of Compatible Pair of Actions For Finite Cyclic Groups of 3-Power Order
title_short Number of Compatible Pair of Actions For Finite Cyclic Groups of 3-Power Order
title_sort number of compatible pair of actions for finite cyclic groups of 3 power order
topic QA Mathematics
url http://umpir.ump.edu.my/id/eprint/20018/1/ijssst%201.pdf
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