Compatible Pair of Nontrivial Actions for Cyclic Groups of 3-Power Order

Compatible Pair of Nontrivial Actions for Cyclic Groups of 3-Power Order

A compatible action played an important role before computing the nonabelian tensor product. Number of compatible actions will give the different nonabelian tensor product. Thus, this paper present some exact number of compatible pairs of actions for cyclic groups focusing on groups of 3-power ord...

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Main Authors: Shahoodh, Mohammed Khalid, Mohd Sham, Mohamad, Yuhani, Yusof, Sahimel Azwal, Sulaiman
Format: Conference or Workshop Item
Language:English
Published: Universiti Malaysia Pahang 2016
Subjects:
QA Mathematics
Online Access:http://umpir.ump.edu.my/id/eprint/15753/
http://umpir.ump.edu.my/id/eprint/15753/
http://umpir.ump.edu.my/id/eprint/15753/1/P108%20pg792-797.pdf
id ump-15753
recordtype eprints
spelling ump-157532018-02-06T02:26:59Z http://umpir.ump.edu.my/id/eprint/15753/ Compatible Pair of Nontrivial Actions for Cyclic Groups of 3-Power Order Shahoodh, Mohammed Khalid Mohd Sham, Mohamad Yuhani, Yusof Sahimel Azwal, Sulaiman QA Mathematics A compatible action played an important role before computing the nonabelian tensor product. Number of compatible actions will give the different nonabelian tensor product. Thus, this paper present some exact number of compatible pairs of actions for cyclic groups focusing on groups of 3-power order. Some necessary and sufficient number theoretical conditions for a pair of cyclic groups of p-power order with nontrivial actions act compatibly on each other are applied to find the exact number of compatible pairs of actions. Group, Algorithm and Programming (GAP) software is used to find some examples on a different case. Results on the compatible pair of nontrivial actions of order three and nine are given. Universiti Malaysia Pahang 2016 Conference or Workshop Item PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/15753/1/P108%20pg792-797.pdf Shahoodh, Mohammed Khalid and Mohd Sham, Mohamad and Yuhani, Yusof and Sahimel Azwal, Sulaiman (2016) Compatible Pair of Nontrivial Actions for Cyclic Groups of 3-Power Order. In: Proceedings of The National Conference for Postgraduate Research (NCON-PGR 2016), 24-25 September 2016 , Universiti Malaysia Pahang (UMP), Pekan, Pahang. pp. 792-797.. http://ee.ump.edu.my/ncon/wp-content/uploads/2016/10/Proceeding-NCON-PGR-2016.zip
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
Shahoodh, Mohammed Khalid
Mohd Sham, Mohamad
Yuhani, Yusof
Sahimel Azwal, Sulaiman
Compatible Pair of Nontrivial Actions for Cyclic Groups of 3-Power Order
description A compatible action played an important role before computing the nonabelian tensor product. Number of compatible actions will give the different nonabelian tensor product. Thus, this paper present some exact number of compatible pairs of actions for cyclic groups focusing on groups of 3-power order. Some necessary and sufficient number theoretical conditions for a pair of cyclic groups of p-power order with nontrivial actions act compatibly on each other are applied to find the exact number of compatible pairs of actions. Group, Algorithm and Programming (GAP) software is used to find some examples on a different case. Results on the compatible pair of nontrivial actions of order three and nine are given.
format Conference or Workshop Item
author Shahoodh, Mohammed Khalid
Mohd Sham, Mohamad
Yuhani, Yusof
Sahimel Azwal, Sulaiman
author_facet Shahoodh, Mohammed Khalid
Mohd Sham, Mohamad
Yuhani, Yusof
Sahimel Azwal, Sulaiman
author_sort Shahoodh, Mohammed Khalid
title Compatible Pair of Nontrivial Actions for Cyclic Groups of 3-Power Order
title_short Compatible Pair of Nontrivial Actions for Cyclic Groups of 3-Power Order
title_full Compatible Pair of Nontrivial Actions for Cyclic Groups of 3-Power Order
title_fullStr Compatible Pair of Nontrivial Actions for Cyclic Groups of 3-Power Order
title_full_unstemmed Compatible Pair of Nontrivial Actions for Cyclic Groups of 3-Power Order
title_sort compatible pair of nontrivial actions for cyclic groups of 3-power order
publisher Universiti Malaysia Pahang
publishDate 2016
url http://umpir.ump.edu.my/id/eprint/15753/
http://umpir.ump.edu.my/id/eprint/15753/
http://umpir.ump.edu.my/id/eprint/15753/1/P108%20pg792-797.pdf
first_indexed 2023-09-18T22:20:45Z
last_indexed 2023-09-18T22:20:45Z
_version_ 1777415640424906752

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