Cover Image

The probability that two elements commute in some 2-generator 2-groups of nilpotency class 2

Erdos and Turan have introduced the determination of the abelianness of a finite group for symmetric groups, finite groups and finite rings in 1968. Basic probability theory will be used in studying its connection with group theory. Some basic concepts related with P(G) , the probability a random pa...

Full description

Saved in:
Bibliographic Details
Main Author: Mohamad, Mohd. Sham
Format: Thesis
Language:English
Published: 2005
Subjects:
Unspecified
Online Access:http://eprints.utm.my/id/eprint/35015/1/MohdShamMohamad%20MFS2005.pdf
http://eprints.utm.my/id/eprint/35015/
http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:94793?queryType=vitalDismax&query=The+probability+that+two+elements+commute+in+some+2-generator+2-groups+of+nilpotency+class+2&public=true
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.utm.35015
record_format eprints
spelling my.utm.350152017-10-11T06:11:49Z http://eprints.utm.my/id/eprint/35015/ The probability that two elements commute in some 2-generator 2-groups of nilpotency class 2 Mohamad, Mohd. Sham Unspecified Erdos and Turan have introduced the determination of the abelianness of a finite group for symmetric groups, finite groups and finite rings in 1968. Basic probability theory will be used in studying its connection with group theory. Some basic concepts related with P(G) , the probability a random pair of elements in a group commutes, will be presented. This research will focus on the 2-generator 2- groups of nilpotency class 2, based on the classification that have been done by Kappe et.al in 1999. Finally, some properties of P(G) for some 2-generator 2- groups of nilpotency class 2 will be determined 2005 Thesis NonPeerReviewed application/pdf en http://eprints.utm.my/id/eprint/35015/1/MohdShamMohamad%20MFS2005.pdf Mohamad, Mohd. Sham (2005) The probability that two elements commute in some 2-generator 2-groups of nilpotency class 2. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science. http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:94793?queryType=vitalDismax&query=The+probability+that+two+elements+commute+in+some+2-generator+2-groups+of+nilpotency+class+2&public=true
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/
language English
topic Unspecified
spellingShingle Unspecified
Mohamad, Mohd. Sham
The probability that two elements commute in some 2-generator 2-groups of nilpotency class 2
description Erdos and Turan have introduced the determination of the abelianness of a finite group for symmetric groups, finite groups and finite rings in 1968. Basic probability theory will be used in studying its connection with group theory. Some basic concepts related with P(G) , the probability a random pair of elements in a group commutes, will be presented. This research will focus on the 2-generator 2- groups of nilpotency class 2, based on the classification that have been done by Kappe et.al in 1999. Finally, some properties of P(G) for some 2-generator 2- groups of nilpotency class 2 will be determined
format Thesis
author Mohamad, Mohd. Sham
author_facet Mohamad, Mohd. Sham
author_sort Mohamad, Mohd. Sham
title The probability that two elements commute in some 2-generator 2-groups of nilpotency class 2
title_short The probability that two elements commute in some 2-generator 2-groups of nilpotency class 2
title_full The probability that two elements commute in some 2-generator 2-groups of nilpotency class 2
title_fullStr The probability that two elements commute in some 2-generator 2-groups of nilpotency class 2
title_full_unstemmed The probability that two elements commute in some 2-generator 2-groups of nilpotency class 2
title_sort probability that two elements commute in some 2-generator 2-groups of nilpotency class 2
publishDate 2005
url http://eprints.utm.my/id/eprint/35015/1/MohdShamMohamad%20MFS2005.pdf
http://eprints.utm.my/id/eprint/35015/
http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:94793?queryType=vitalDismax&query=The+probability+that+two+elements+commute+in+some+2-generator+2-groups+of+nilpotency+class+2&public=true
_version_ 1643649739307089920
score 13.211869

Similar Items