Compatible pair of nontrivial actions for some cyclic groups of 2-power order
Compatible actions play 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 numbers of theoretical conditions for a pair of cy...
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AIP Publishing LLC
2015
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ump-164982018-04-04T07:10:34Z http://umpir.ump.edu.my/id/eprint/16498/ Compatible pair of nontrivial actions for some cyclic groups of 2-power order Sahimel Azwal, Sulaiman Mohd Sham, Mohamad Yuhani, Yusof Nor Haniza, Sarmin Nor Muhainiah, Mohd Ali Tan, Lit Ken Tahir, Shah QA Mathematics Compatible actions play 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 numbers of theoretical conditions for a pair of cyclic groups of 2-power order with nontrivial actions which act compatibly on each other are used to investigate some properties in order to find the exact number of compatible pairs of actions. Algorithms in Groups, Algorithms and Programming (GAP) software are used to create more examples on selected cases. New results on compatible pair of nontrivial actions of order two and four for cyclic groups of 2-power order are presented in this paper. AIP Publishing LLC 2015-02-03 Conference or Workshop Item PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/16498/1/Compatible%20Pair%20of%20Nontrivial%20Actions%20for%20Some.pdf Sahimel Azwal, Sulaiman and Mohd Sham, Mohamad and Yuhani, Yusof and Nor Haniza, Sarmin and Nor Muhainiah, Mohd Ali and Tan, Lit Ken and Tahir, Shah (2015) Compatible pair of nontrivial actions for some cyclic groups of 2-power order. In: AIP Conference Proceedings: The 2nd ISM International Statistical Conference 2014 (ISM-II), 12-14 August 2014 , Kuantan, Pahang, Malaysia. pp. 700-705., 1643. ISSN 0094-243X ISBN 978-0-7354-1281-1 http://dx.doi.org/10.1063/1.4907515 10.1063/1.4907515 |
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QA Mathematics Sahimel Azwal, Sulaiman Mohd Sham, Mohamad Yuhani, Yusof Nor Haniza, Sarmin Nor Muhainiah, Mohd Ali Tan, Lit Ken Tahir, Shah Compatible pair of nontrivial actions for some cyclic groups of 2-power order |
description |
Compatible actions play 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 numbers of theoretical conditions for a pair of cyclic groups of 2-power order with nontrivial actions which act compatibly on each other are used to investigate some properties in order to find the exact number of compatible pairs of actions. Algorithms in Groups, Algorithms and Programming (GAP) software are used to create more examples on selected cases. New results on compatible pair of nontrivial actions of order two and four for cyclic groups of 2-power order are presented in this paper. |
format |
Conference or Workshop Item |
author |
Sahimel Azwal, Sulaiman Mohd Sham, Mohamad Yuhani, Yusof Nor Haniza, Sarmin Nor Muhainiah, Mohd Ali Tan, Lit Ken Tahir, Shah |
author_facet |
Sahimel Azwal, Sulaiman Mohd Sham, Mohamad Yuhani, Yusof Nor Haniza, Sarmin Nor Muhainiah, Mohd Ali Tan, Lit Ken Tahir, Shah |
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 |
publisher |
AIP Publishing LLC |
publishDate |
2015 |
url |
http://umpir.ump.edu.my/id/eprint/16498/ http://umpir.ump.edu.my/id/eprint/16498/ http://umpir.ump.edu.my/id/eprint/16498/ http://umpir.ump.edu.my/id/eprint/16498/1/Compatible%20Pair%20of%20Nontrivial%20Actions%20for%20Some.pdf |
first_indexed |
2023-09-18T22:22:13Z |
last_indexed |
2023-09-18T22:22:13Z |
_version_ |
1777415732728954880 |