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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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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
score 13.160551

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