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Commutativity Degree of Finite Groups

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abstract
The commutativity degree of a group is the probability that two randomly selected (with replacement) elements of the group commute. We find bounds on the commutativity degree of a finite group, equate restricted values of commutativity degree to finite groups with particular structures, compute the commutativity degree for a number of classes of fi nite groups, and discuss the set of possible values of commutativity degree for fi nite groups.
subject
commutativity degree
commuting probability
conjugacy classes
contributor
Castelaz, Anna (author)
Kirkman, Ellen (committee chair)
Howard, Fredric (committee member)
date
2010-03-26T16:57:53Z (accessioned)
2010-06-18T18:57:46Z (accessioned)
2010-03-26T16:57:53Z (available)
2010-06-18T18:57:46Z (available)
2010-03-26T16:57:53Z (issued)
degree
Mathematics (discipline)
identifier
http://hdl.handle.net/10339/14713 (uri)
language
en_US (iso)
publisher
Wake Forest University
rights
Release the entire work immediately for access worldwide. (accessRights)
title
Commutativity Degree of Finite Groups
type
Thesis

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