Compatible Pair of Actions for Two Same Cyclic Groups of 2-Power Order

The nonabelian tensor product is defined for a pair of groups which act on each other provided the actions satisfying the compatibility conditions. In this paper, the compatible pairs of actions and cyclic groups of the 2-power order are considered. The aim of this study is to investigate the number...

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Main Authors:	Mohd Sham, Mohamad, Sahimel Azwal, Sulaiman, Yuhani, Yusof, Shahoodh, Mohammed Khalid
Format:	Article
Language:	English
Published:	IOP Publishing 2017
Subjects:	QA Mathematics
Online Access:	http://umpir.ump.edu.my/id/eprint/18777/ http://umpir.ump.edu.my/id/eprint/18777/ http://umpir.ump.edu.my/id/eprint/18777/ http://umpir.ump.edu.my/id/eprint/18777/1/fist-2017-Mohamad-Compatible%20Pair%20of%20Actions%20for%20Two%20Same.pdf

id	ump-18777
recordtype	eprints
spelling	ump-187772018-05-17T03:59:33Z http://umpir.ump.edu.my/id/eprint/18777/ Compatible Pair of Actions for Two Same Cyclic Groups of 2-Power Order Mohd Sham, Mohamad Sahimel Azwal, Sulaiman Yuhani, Yusof Shahoodh, Mohammed Khalid QA Mathematics The nonabelian tensor product is defined for a pair of groups which act on each other provided the actions satisfying the compatibility conditions. In this paper, the compatible pairs of actions and cyclic groups of the 2-power order are considered. The aim of this study is to investigate the number of the compatible pair of actions for two same cyclic groups of 2-power order with same order of actions. In attained the objectives stated, the necessary and sufficient conditions of cyclic groups of 2-power order act compatibly on each other are used. At the end of this paper, the exact number of compatible pair of actions for two same cyclic groups of 2-power order with a same order of actions is given. IOP Publishing 2017 Article PeerReviewed application/pdf en cc_by http://umpir.ump.edu.my/id/eprint/18777/1/fist-2017-Mohamad-Compatible%20Pair%20of%20Actions%20for%20Two%20Same.pdf Mohd Sham, Mohamad and Sahimel Azwal, Sulaiman and Yuhani, Yusof and Shahoodh, Mohammed Khalid (2017) Compatible Pair of Actions for Two Same Cyclic Groups of 2-Power Order. Journal of Physics: Conference series, 890 (012120). pp. 1-5. ISSN 1742-6588 (print); 1742-6596 (online) http://dx.doi.org/10.1088/1742-6596/890/1/012120 doi: 10.1088/1742-6596/890/1/012120
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 Mohd Sham, Mohamad Sahimel Azwal, Sulaiman Yuhani, Yusof Shahoodh, Mohammed Khalid Compatible Pair of Actions for Two Same Cyclic Groups of 2-Power Order
description	The nonabelian tensor product is defined for a pair of groups which act on each other provided the actions satisfying the compatibility conditions. In this paper, the compatible pairs of actions and cyclic groups of the 2-power order are considered. The aim of this study is to investigate the number of the compatible pair of actions for two same cyclic groups of 2-power order with same order of actions. In attained the objectives stated, the necessary and sufficient conditions of cyclic groups of 2-power order act compatibly on each other are used. At the end of this paper, the exact number of compatible pair of actions for two same cyclic groups of 2-power order with a same order of actions is given.
format	Article
author	Mohd Sham, Mohamad Sahimel Azwal, Sulaiman Yuhani, Yusof Shahoodh, Mohammed Khalid
author_facet	Mohd Sham, Mohamad Sahimel Azwal, Sulaiman Yuhani, Yusof Shahoodh, Mohammed Khalid
author_sort	Mohd Sham, Mohamad
title	Compatible Pair of Actions for Two Same Cyclic Groups of 2-Power Order
title_short	Compatible Pair of Actions for Two Same Cyclic Groups of 2-Power Order
title_full	Compatible Pair of Actions for Two Same Cyclic Groups of 2-Power Order
title_fullStr	Compatible Pair of Actions for Two Same Cyclic Groups of 2-Power Order
title_full_unstemmed	Compatible Pair of Actions for Two Same Cyclic Groups of 2-Power Order
title_sort	compatible pair of actions for two same cyclic groups of 2-power order
publisher	IOP Publishing
publishDate	2017
url	http://umpir.ump.edu.my/id/eprint/18777/ http://umpir.ump.edu.my/id/eprint/18777/ http://umpir.ump.edu.my/id/eprint/18777/ http://umpir.ump.edu.my/id/eprint/18777/1/fist-2017-Mohamad-Compatible%20Pair%20of%20Actions%20for%20Two%20Same.pdf
first_indexed	2023-09-18T22:26:46Z
last_indexed	2023-09-18T22:26:46Z
_version_	1777416018702893056

Compatible Pair of Actions for Two Same Cyclic Groups of 2-Power Order

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