The probability that a group element fixes a set underregular action formetacyclic 2-groups of negative type

In this paper, let be a metacyclic 2-group of negative type of class two and ofclass at least three. Let O be the set of all subsets of all commuting elements of size two in the form of a,b, where a and b commute and |a|= |b|= 2.The probability that an element of a group fixes a set is considered as...

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Main Authors:	El-Sanfaz, Mustafa Anis, Sarmin, Nor Haniza, Omer, Sanaa Mohamed Saleh
Format:	Article
Published:	Research India Publications 2015
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/58978/ https://www.ripublication.com/Volume/ijaerv10n15.htm
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Institution:	Universiti Teknologi Malaysia

id	my.utm.58978
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spelling	my.utm.589782021-12-15T04:45:33Z http://eprints.utm.my/id/eprint/58978/ The probability that a group element fixes a set underregular action formetacyclic 2-groups of negative type El-Sanfaz, Mustafa Anis Sarmin, Nor Haniza Omer, Sanaa Mohamed Saleh QA Mathematics In this paper, let be a metacyclic 2-group of negative type of class two and ofclass at least three. Let O be the set of all subsets of all commuting elements of size two in the form of a,b, where a and b commute and \|a\|= \|b\|= 2.The probability that an element of a group fixes a set is considered as one of the extensions of the commutativity degree that can be obtained by some group actions on a set. In this paper, the probability that an element of fixes the set O under regular action is computed. Research India Publications 2015 Article PeerReviewed El-Sanfaz, Mustafa Anis and Sarmin, Nor Haniza and Omer, Sanaa Mohamed Saleh (2015) The probability that a group element fixes a set underregular action formetacyclic 2-groups of negative type. International Journal of Applied Engineering Research, 10 (15). pp. 35055-35059. ISSN 0973-4562 https://www.ripublication.com/Volume/ijaerv10n15.htm
institution	Universiti Teknologi Malaysia
building	UTM Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Teknologi Malaysia
content_source	UTM Institutional Repository
url_provider	http://eprints.utm.my/
topic	QA Mathematics
spellingShingle	QA Mathematics El-Sanfaz, Mustafa Anis Sarmin, Nor Haniza Omer, Sanaa Mohamed Saleh The probability that a group element fixes a set underregular action formetacyclic 2-groups of negative type
description	In this paper, let be a metacyclic 2-group of negative type of class two and ofclass at least three. Let O be the set of all subsets of all commuting elements of size two in the form of a,b, where a and b commute and \|a\|= \|b\|= 2.The probability that an element of a group fixes a set is considered as one of the extensions of the commutativity degree that can be obtained by some group actions on a set. In this paper, the probability that an element of fixes the set O under regular action is computed.
format	Article
author	El-Sanfaz, Mustafa Anis Sarmin, Nor Haniza Omer, Sanaa Mohamed Saleh
author_facet	El-Sanfaz, Mustafa Anis Sarmin, Nor Haniza Omer, Sanaa Mohamed Saleh
author_sort	El-Sanfaz, Mustafa Anis
title	The probability that a group element fixes a set underregular action formetacyclic 2-groups of negative type
title_short	The probability that a group element fixes a set underregular action formetacyclic 2-groups of negative type
title_full	The probability that a group element fixes a set underregular action formetacyclic 2-groups of negative type
title_fullStr	The probability that a group element fixes a set underregular action formetacyclic 2-groups of negative type
title_full_unstemmed	The probability that a group element fixes a set underregular action formetacyclic 2-groups of negative type
title_sort	probability that a group element fixes a set underregular action formetacyclic 2-groups of negative type
publisher	Research India Publications
publishDate	2015
url	http://eprints.utm.my/id/eprint/58978/ https://www.ripublication.com/Volume/ijaerv10n15.htm
_version_	1720436896955367424

The probability that a group element fixes a set underregular action formetacyclic 2-groups of negative type

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