The probability that an element of metacyclic 2-groups of positive type fixes a set

In this paper, is a metacyclic 2-group of positive type of nilpotency of class at least three. Let be the set of all subsets of all commuting elements of of size two in the form of where and commute and each of order two. The probability that an element of a group fixes a set is considered as one o...

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Main Authors:	El-sanfaz, Mustafa Anis, Sarmin, Nor Haniza, Omer, Sanaa Mohamed Saleh
Format:	Article
Published:	Penerbit UTM Press 2014
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/63003/ http://dx.doi.org/10.11113/jt.v71.2899
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Institution:	Universiti Teknologi Malaysia

id	my.utm.63003
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spelling	my.utm.630032017-11-01T04:17:08Z http://eprints.utm.my/id/eprint/63003/ The probability that an element of metacyclic 2-groups of positive type fixes a set El-sanfaz, Mustafa Anis Sarmin, Nor Haniza Omer, Sanaa Mohamed Saleh QA Mathematics In this paper, is a metacyclic 2-group of positive type of nilpotency of class at least three. Let be the set of all subsets of all commuting elements of of size two in the form of where and commute and each of order two. 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, we compute the probability that an element of fixes a set in which acts on a set, by conjugation. Penerbit UTM Press 2014 Article PeerReviewed El-sanfaz, Mustafa Anis and Sarmin, Nor Haniza and Omer, Sanaa Mohamed Saleh (2014) The probability that an element of metacyclic 2-groups of positive type fixes a set. Jurnal Teknologi, 71 (1). pp. 7-10. ISSN 0127-9696 http://dx.doi.org/10.11113/jt.v71.2899 DOI:10.11113/jt.v71.2899
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 an element of metacyclic 2-groups of positive type fixes a set
description	In this paper, is a metacyclic 2-group of positive type of nilpotency of class at least three. Let be the set of all subsets of all commuting elements of of size two in the form of where and commute and each of order two. 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, we compute the probability that an element of fixes a set in which acts on a set, by conjugation.
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 an element of metacyclic 2-groups of positive type fixes a set
title_short	The probability that an element of metacyclic 2-groups of positive type fixes a set
title_full	The probability that an element of metacyclic 2-groups of positive type fixes a set
title_fullStr	The probability that an element of metacyclic 2-groups of positive type fixes a set
title_full_unstemmed	The probability that an element of metacyclic 2-groups of positive type fixes a set
title_sort	probability that an element of metacyclic 2-groups of positive type fixes a set
publisher	Penerbit UTM Press
publishDate	2014
url	http://eprints.utm.my/id/eprint/63003/ http://dx.doi.org/10.11113/jt.v71.2899
_version_	1643655587804741632

The probability that an element of metacyclic 2-groups of positive type fixes a set

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