Compatible action graph for finite cyclic p-groups

The compatible actions are important in determining the nonabelian tensor product of groups. In this paper, the finite cyclic groups of the p-power order, where p is an odd prime are considered. The purpose of the paper is to find the intersection between a group and its subgroup for such type of gr...

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Main Authors:	Sahimel Azwal, Sulaiman, Mohd Sham, Mohamad, Yuhani, Yusof, Mohamad Khalid, Shahood
Format:	Conference or Workshop Item
Language:	English English
Published:	2018
Subjects:	QA Mathematics
Online Access:	http://umpir.ump.edu.my/id/eprint/22130/ http://umpir.ump.edu.my/id/eprint/22130/1/40.%20Compatible%20action%20graph%20for%20finite%20cyclic%20p-groups.pdf http://umpir.ump.edu.my/id/eprint/22130/2/40.1%20Compatible%20action%20graph%20for%20finite%20cyclic%20p%20-groups.pdf

id	ump-22130
recordtype	eprints
spelling	ump-221302018-12-07T01:01:45Z http://umpir.ump.edu.my/id/eprint/22130/ Compatible action graph for finite cyclic p-groups Sahimel Azwal, Sulaiman Mohd Sham, Mohamad Yuhani, Yusof Mohamad Khalid, Shahood QA Mathematics The compatible actions are important in determining the nonabelian tensor product of groups. In this paper, the finite cyclic groups of the p-power order, where p is an odd prime are considered. The purpose of the paper is to find the intersection between a group and its subgroup for such type of groups. For this goal, the compatible action graph for the finite cyclic groups of the p-power order has been defined and used to find the number of the compatible pairs of actions that have the p-power order, which represents the intersection between the compatible action graph and its subgraph. Furthermore, some properties of compatible action graph and its subgraph are given. 2018-04 Conference or Workshop Item NonPeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/22130/1/40.%20Compatible%20action%20graph%20for%20finite%20cyclic%20p-groups.pdf pdf en http://umpir.ump.edu.my/id/eprint/22130/2/40.1%20Compatible%20action%20graph%20for%20finite%20cyclic%20p%20-groups.pdf Sahimel Azwal, Sulaiman and Mohd Sham, Mohamad and Yuhani, Yusof and Mohamad Khalid, Shahood (2018) Compatible action graph for finite cyclic p-groups. In: 4th International Conference On Science, Engineering and Environment, 12 -14 November 2018 , Meitetsu New Grand Hotel, Nagoya. pp. 1-6.. (Unpublished)
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Malaysia Pahang
building	UMP Institutional Repository
collection	Online Access
language	English English
topic	QA Mathematics
spellingShingle	QA Mathematics Sahimel Azwal, Sulaiman Mohd Sham, Mohamad Yuhani, Yusof Mohamad Khalid, Shahood Compatible action graph for finite cyclic p-groups
description	The compatible actions are important in determining the nonabelian tensor product of groups. In this paper, the finite cyclic groups of the p-power order, where p is an odd prime are considered. The purpose of the paper is to find the intersection between a group and its subgroup for such type of groups. For this goal, the compatible action graph for the finite cyclic groups of the p-power order has been defined and used to find the number of the compatible pairs of actions that have the p-power order, which represents the intersection between the compatible action graph and its subgraph. Furthermore, some properties of compatible action graph and its subgraph are given.
format	Conference or Workshop Item
author	Sahimel Azwal, Sulaiman Mohd Sham, Mohamad Yuhani, Yusof Mohamad Khalid, Shahood
author_facet	Sahimel Azwal, Sulaiman Mohd Sham, Mohamad Yuhani, Yusof Mohamad Khalid, Shahood
author_sort	Sahimel Azwal, Sulaiman
title	Compatible action graph for finite cyclic p-groups
title_short	Compatible action graph for finite cyclic p-groups
title_full	Compatible action graph for finite cyclic p-groups
title_fullStr	Compatible action graph for finite cyclic p-groups
title_full_unstemmed	Compatible action graph for finite cyclic p-groups
title_sort	compatible action graph for finite cyclic p-groups
publishDate	2018
url	http://umpir.ump.edu.my/id/eprint/22130/ http://umpir.ump.edu.my/id/eprint/22130/1/40.%20Compatible%20action%20graph%20for%20finite%20cyclic%20p-groups.pdf http://umpir.ump.edu.my/id/eprint/22130/2/40.1%20Compatible%20action%20graph%20for%20finite%20cyclic%20p%20-groups.pdf
first_indexed	2023-09-18T22:32:47Z
last_indexed	2023-09-18T22:32:47Z
_version_	1777416396743901184

Compatible action graph for finite cyclic p-groups

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