Compatible Pair of Nontrivial Actions for Some Cyclic Groups of 2-Power Order

Compatible Pair of Nontrivial Actions for Some Cyclic Groups of 2-Power Order

Compatible action played a very important verification before the nonabelian tensor product can be computed. This paper gives the some exact number of compatible pairs of actions for some cyclic groups of 2-power order. Some necessary and sufficient number theoretical conditions for a pair of cyclic...

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Main Authors: Sahimel Azwal, Sulaiman, Mohd Sham, Mohamad, Yuhani, Yusof
Format: Conference or Workshop Item
Language:English
Published: 2015
Subjects:
QA Mathematics
QA76 Computer software
Online Access:http://umpir.ump.edu.my/id/eprint/6630/
http://umpir.ump.edu.my/id/eprint/6630/
http://umpir.ump.edu.my/id/eprint/6630/1/fist-2014-sahimel-Compatible_Pair_of_Nontrivial.pdf
id ump-6630
recordtype eprints
spelling ump-66302018-02-06T03:22:38Z http://umpir.ump.edu.my/id/eprint/6630/ Compatible Pair of Nontrivial Actions for Some Cyclic Groups of 2-Power Order Sahimel Azwal, Sulaiman Mohd Sham, Mohamad Yuhani, Yusof QA Mathematics QA76 Computer software Compatible action played a very important verification before the nonabelian tensor product can be computed. This paper gives the some exact number of compatible pairs of actions for some cyclic groups of 2-power order. Some necessary and sufficient number theoretical conditions for a pair of cyclic groups of 2-power order with nontrivial actions act compatibly on each other are used to investigate some properties to find the exact number of compatible pairs of actions. Algorithms in Groups, Algorithms and Programming (GAP) software are constructed to create more examples on selected case. New results on compatible pair of nontrivial actions of order two and four are given. 2015 Conference or Workshop Item PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/6630/1/fist-2014-sahimel-Compatible_Pair_of_Nontrivial.pdf Sahimel Azwal, Sulaiman and Mohd Sham, Mohamad and Yuhani, Yusof (2015) Compatible Pair of Nontrivial Actions for Some Cyclic Groups of 2-Power Order. In: AIP Conference Proceeding, 700, 1643 :The 2nd ISM International Statistical Conference (ISM-II 2014), 12-14 August 2014 , MS Garden Hotel, Kuantan. p. 700.. http://dx.doi.org/10.1063/1.4907515
repository_type Digital Repository
institution_category Local University
institution Universiti Malaysia Pahang
building UMP Institutional Repository
collection Online Access
language English
topic QA Mathematics
QA76 Computer software
spellingShingle QA Mathematics
QA76 Computer software
Sahimel Azwal, Sulaiman
Mohd Sham, Mohamad
Yuhani, Yusof
Compatible Pair of Nontrivial Actions for Some Cyclic Groups of 2-Power Order
description Compatible action played a very important verification before the nonabelian tensor product can be computed. This paper gives the some exact number of compatible pairs of actions for some cyclic groups of 2-power order. Some necessary and sufficient number theoretical conditions for a pair of cyclic groups of 2-power order with nontrivial actions act compatibly on each other are used to investigate some properties to find the exact number of compatible pairs of actions. Algorithms in Groups, Algorithms and Programming (GAP) software are constructed to create more examples on selected case. New results on compatible pair of nontrivial actions of order two and four are given.
format Conference or Workshop Item
author Sahimel Azwal, Sulaiman
Mohd Sham, Mohamad
Yuhani, Yusof
author_facet Sahimel Azwal, Sulaiman
Mohd Sham, Mohamad
Yuhani, Yusof
author_sort Sahimel Azwal, Sulaiman
title Compatible Pair of Nontrivial Actions for Some Cyclic Groups of 2-Power Order
title_short Compatible Pair of Nontrivial Actions for Some Cyclic Groups of 2-Power Order
title_full Compatible Pair of Nontrivial Actions for Some Cyclic Groups of 2-Power Order
title_fullStr Compatible Pair of Nontrivial Actions for Some Cyclic Groups of 2-Power Order
title_full_unstemmed Compatible Pair of Nontrivial Actions for Some Cyclic Groups of 2-Power Order
title_sort compatible pair of nontrivial actions for some cyclic groups of 2-power order
publishDate 2015
url http://umpir.ump.edu.my/id/eprint/6630/
http://umpir.ump.edu.my/id/eprint/6630/
http://umpir.ump.edu.my/id/eprint/6630/1/fist-2014-sahimel-Compatible_Pair_of_Nontrivial.pdf
first_indexed 2023-09-18T22:02:35Z
last_indexed 2023-09-18T22:02:35Z
_version_ 1777414496817512448

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