The probability that an element of a non-abelian group fixes a set and its applications in graph theory

The commutativity degree, defined as the probability that two randomly selected elements of a group commute, plays a very important role in determining the abelianness of a group. In this research, the commutativity degree is extended by finding the probability that a group element fixes a set. This...

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Bibliographic Details
Main Author: El-Sanfaz, Mustafa Anis
Format: Thesis
Language:English
Published: 2016
Subjects:
Online Access:http://eprints.utm.my/id/eprint/78794/1/MustafaAnisElPFS2016.pdf
http://eprints.utm.my/id/eprint/78794/
http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:106206
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Institution: Universiti Teknologi Malaysia
Language: English