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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Format: | Article |
Language: | English |
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United Kingdom Simulation Society
2017
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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. |
first_indexed | 2024-03-06T12:20:55Z |
format | Article |
id | UMPir20018 |
institution | Universiti Malaysia Pahang |
language | English |
last_indexed | 2024-03-06T12:20:55Z |
publishDate | 2017 |
publisher | United Kingdom Simulation Society |
record_format | dspace |
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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