The Number of Compatible Pair of Actions for Cyclic Groups of 2-Power Order

The Number of Compatible Pair of Actions for Cyclic Groups of 2-Power Order

The non-abelian tensor product of groups has its origins in the algebraic K-theory and homotopy theory. The nonabelian tensor product for a pair of groups is defined when the actions act compatibly on each other. This research is to determine the maximum number of a compatible pair of actions that c...

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Main Authors: Sahimel Azwal, Sulaiman, Yuhani, Yusof, Shahoodh, Mohammed Khalid
Format: Article
Language:English
Published: United Kingdom Simulation Society 2017
Subjects:
QA Mathematics
Online Access:http://umpir.ump.edu.my/id/eprint/20042/
http://umpir.ump.edu.my/id/eprint/20042/
http://umpir.ump.edu.my/id/eprint/20042/
http://umpir.ump.edu.my/id/eprint/20042/1/ijssst%202.pdf
id ump-20042
recordtype eprints
spelling ump-200422018-01-18T02:45:39Z http://umpir.ump.edu.my/id/eprint/20042/ The Number of Compatible Pair of Actions for Cyclic Groups of 2-Power Order Sahimel Azwal, Sulaiman Yuhani, Yusof Shahoodh, Mohammed Khalid QA Mathematics The non-abelian tensor product of groups has its origins in the algebraic K-theory and homotopy theory. The nonabelian tensor product for a pair of groups is defined when the actions act compatibly on each other. This research is to determine the maximum number of a compatible pair of actions that can be identified between two cyclic groups of 2-power order for nonabelian tensor product. The compatible pair of actions between two cyclic groups of 2-power order can be found by using the necessary and sufficient conditions of two cyclic groups of 2-power order acting compatibly on each other. Hence, the number of the compatible pair of actions between two cyclic groups of the 2-power order is determined. United Kingdom Simulation Society 2017-12 Article PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/20042/1/ijssst%202.pdf Sahimel Azwal, Sulaiman and Yuhani, Yusof and Shahoodh, Mohammed Khalid (2017) The Number of Compatible Pair of Actions for Cyclic Groups of 2-Power Order. International Journal of Simulation Systems, Science & Technology, 18 (4). 2.1-2.8. ISSN 1473-8031(Print); 1473-804x (Online) http://ijssst.info/Vol-18/No-4/paper2.pdf DOI 10.5013/IJSSST.a.18.04.02
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
Sahimel Azwal, Sulaiman
Yuhani, Yusof
Shahoodh, Mohammed Khalid
The Number of Compatible Pair of Actions for Cyclic Groups of 2-Power Order
description The non-abelian tensor product of groups has its origins in the algebraic K-theory and homotopy theory. The nonabelian tensor product for a pair of groups is defined when the actions act compatibly on each other. This research is to determine the maximum number of a compatible pair of actions that can be identified between two cyclic groups of 2-power order for nonabelian tensor product. The compatible pair of actions between two cyclic groups of 2-power order can be found by using the necessary and sufficient conditions of two cyclic groups of 2-power order acting compatibly on each other. Hence, the number of the compatible pair of actions between two cyclic groups of the 2-power order is determined.
format Article
author Sahimel Azwal, Sulaiman
Yuhani, Yusof
Shahoodh, Mohammed Khalid
author_facet Sahimel Azwal, Sulaiman
Yuhani, Yusof
Shahoodh, Mohammed Khalid
author_sort Sahimel Azwal, Sulaiman
title The Number of Compatible Pair of Actions for Cyclic Groups of 2-Power Order
title_short The Number of Compatible Pair of Actions for Cyclic Groups of 2-Power Order
title_full The Number of Compatible Pair of Actions for Cyclic Groups of 2-Power Order
title_fullStr The Number of Compatible Pair of Actions for Cyclic Groups of 2-Power Order
title_full_unstemmed The Number of Compatible Pair of Actions for Cyclic Groups of 2-Power Order
title_sort number of compatible pair of actions for cyclic groups of 2-power order
publisher United Kingdom Simulation Society
publishDate 2017
url http://umpir.ump.edu.my/id/eprint/20042/
http://umpir.ump.edu.my/id/eprint/20042/
http://umpir.ump.edu.my/id/eprint/20042/
http://umpir.ump.edu.my/id/eprint/20042/1/ijssst%202.pdf
first_indexed 2023-09-18T22:28:42Z
last_indexed 2023-09-18T22:28:42Z
_version_ 1777416140577832960

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