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
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Online Access:http://umpir.ump.edu.my/id/eprint/20018/
http://umpir.ump.edu.my/id/eprint/20018/
http://umpir.ump.edu.my/id/eprint/20018/
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spelling ump-200182018-01-18T02:52:13Z 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) http://ijssst.info/Vol-18/No-4/paper1.pdf 10.5013/IJSSST.a.18.04.01
repository_type Digital Repository
institution_category Local University
institution Universiti Malaysia Pahang
building UMP Institutional Repository
collection Online Access
language English
topic QA Mathematics
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
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.
format Article
author Shahoodh, Mohammed Khalid
Yuhani, Yusof
Sahimel Azwal, Sulaiman
author_facet Shahoodh, Mohammed Khalid
Yuhani, Yusof
Sahimel Azwal, Sulaiman
author_sort Shahoodh, Mohammed Khalid
title 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_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_sort number of compatible pair of actions for finite cyclic groups of 3-power order
publisher United Kingdom Simulation Society
publishDate 2017
url http://umpir.ump.edu.my/id/eprint/20018/
http://umpir.ump.edu.my/id/eprint/20018/
http://umpir.ump.edu.my/id/eprint/20018/
http://umpir.ump.edu.my/id/eprint/20018/1/ijssst%201.pdf
first_indexed 2023-09-18T22:28:41Z
last_indexed 2023-09-18T22:28:41Z
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