Che Mohd., Maryaam (2011) The commutativity degree of all nonabelian metabelian groups of order at most 24. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science.

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Abstract
A metabelian group is a group whose commutator subgroup is abelian. Equivalently, a group G is metabelian if and only if there exists an abelian normal subgroup A such that the quotient group G/A is abelian. Meanwhile, the commutativity degree can be viewed as the probability that two elements in a group commute, denoted by P(G) . The main objective of this research is to compute the commutativity degree of all metabelian groups of order at most 24. Some basic concepts related with P(G) will first be presented. Two approaches have been used to compute P(G), where G is a metabelian group of order at most 24, namely the 01 Table and the Conjugacy Class Method. A software named Groups, Algorithms and Programming (GAP) have been used to facilitate the computations of the commutativity degree.
Item Type:  Thesis (Masters) 

Additional Information:  Thesis (Sarjana Sains (Matematik))  Universiti Teknologi Malaysia, 2011; Supervisor: Assoc. Prof. Dr. Nor Haniza Sarmin 
Uncontrolled Keywords:  commutative degree, nonabelian metabelian, programming 
Subjects:  Q Science > QA Mathematics 
Divisions:  Science 
ID Code:  47965 
Deposited By:  Narimah Nawil 
Deposited On:  06 Oct 2015 07:56 
Last Modified:  30 May 2018 03:57 
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