The nth commutativity degree of nonabelian metabelian groups of order at most 24

A group G is metabelian if and only if there exists an abelian normal subgroup A such that the factor group, G A is abelian. Meanwhile, for any group G, the commutativity degree of a group is the probability that two randomly selected elements of the group commute and denoted as P(G). Furthermore, t...

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Main Author:	Abd. Halim, Zulezzah
Format:	Thesis
Language:	English
Published:	2013
Subjects:	Q Science (General)
Online Access:	http://eprints.utm.my/id/eprint/32616/5/ZulezzahAbdHalimMFS2013.pdf
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id	my-utm-ep.32616
record_format	uketd_dc
spelling	my-utm-ep.326162017-07-24T04:13:47Z The nth commutativity degree of nonabelian metabelian groups of order at most 24 2013-01 Abd. Halim, Zulezzah Q Science (General) A group G is metabelian if and only if there exists an abelian normal subgroup A such that the factor group, G A is abelian. Meanwhile, for any group G, the commutativity degree of a group is the probability that two randomly selected elements of the group commute and denoted as P(G). Furthermore, the nth commutativity degree of a group G is defined as the probability that the nth power of a random element commutes with another random element from the same group, Pn(G). In this research, P(G) and Pn(G) for nonabelian metabelian groups of order up to 24 are computed and presented. The nth commutativity degree of a group are found by using the formula of Pn(G). 2013-01 Thesis http://eprints.utm.my/id/eprint/32616/ http://eprints.utm.my/id/eprint/32616/5/ZulezzahAbdHalimMFS2013.pdf application/pdf en public masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	Q Science (General)
spellingShingle	Q Science (General) Abd. Halim, Zulezzah The nth commutativity degree of nonabelian metabelian groups of order at most 24
description	A group G is metabelian if and only if there exists an abelian normal subgroup A such that the factor group, G A is abelian. Meanwhile, for any group G, the commutativity degree of a group is the probability that two randomly selected elements of the group commute and denoted as P(G). Furthermore, the nth commutativity degree of a group G is defined as the probability that the nth power of a random element commutes with another random element from the same group, Pn(G). In this research, P(G) and Pn(G) for nonabelian metabelian groups of order up to 24 are computed and presented. The nth commutativity degree of a group are found by using the formula of Pn(G).
format	Thesis
qualification_level	Master's degree
author	Abd. Halim, Zulezzah
author_facet	Abd. Halim, Zulezzah
author_sort	Abd. Halim, Zulezzah
title	The nth commutativity degree of nonabelian metabelian groups of order at most 24
title_short	The nth commutativity degree of nonabelian metabelian groups of order at most 24
title_full	The nth commutativity degree of nonabelian metabelian groups of order at most 24
title_fullStr	The nth commutativity degree of nonabelian metabelian groups of order at most 24
title_full_unstemmed	The nth commutativity degree of nonabelian metabelian groups of order at most 24
title_sort	nth commutativity degree of nonabelian metabelian groups of order at most 24
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2013
url	http://eprints.utm.my/id/eprint/32616/5/ZulezzahAbdHalimMFS2013.pdf
_version_	1747816045658243072

The nth commutativity degree of nonabelian metabelian groups of order at most 24

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