<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-09-20T02:41:42Z</responseDate><request verb="GetRecord" identifier="oai:wakespace.lib.wfu.edu:10339/14713" metadataPrefix="dim">https://wakespace.lib.wfu.edu/server/oai/request</request><GetRecord><record><header><identifier>oai:null:10339/14713</identifier><datestamp>2026-09-18T10:38:33Z</datestamp><setSpec>com_10339_14934</setSpec><setSpec>col_10339_38132</setSpec></header><metadata><dim:dim xmlns:dim="http://www.dspace.org/xmlns/dspace/dim" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.dspace.org/xmlns/dspace/dim http://www.dspace.org/schema/dim.xsd">
   <dim:field mdschema="dc" element="contributor" qualifier="author" lang="en_US">Castelaz, Anna</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="accessioned" lang="en_US">2010-03-26T16:57:53Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="accessioned">2010-06-18T18:57:46Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="available" lang="en_US">2010-03-26T16:57:53Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="available">2010-06-18T18:57:46Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="issued" lang="en_US">2010-03-26T16:57:53Z</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="uri">https://wakespace.lib.wfu.edu/handle/10339/14713</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="abstract" lang="en_US">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.</dim:field>
   <dim:field mdschema="dc" element="language" qualifier="iso" lang="en_US">en_US</dim:field>
   <dim:field mdschema="dc" element="publisher" lang="en_US">Wake Forest University</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">commutativity degree</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">commuting probability</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">conjugacy classes</dim:field>
   <dim:field mdschema="dc" element="title" lang="en_US">Commutativity Degree of Finite Groups</dim:field>
   <dim:field mdschema="dc" element="type" lang="en_US">Thesis</dim:field>
   <dim:field mdschema="dc" element="rights" qualifier="accessRights" lang="en_US">Release the entire work immediately for access worldwide.</dim:field>
   <dim:field mdschema="thesis" element="contributor" qualifier="committeeChair" lang="en_US">Kirkman, Ellen</dim:field>
   <dim:field mdschema="thesis" element="contributor" qualifier="committeeMember" lang="en_US">Howard, Fredric</dim:field>
   <dim:field mdschema="thesis" element="degree" qualifier="discipline" lang="en_US">Mathematics</dim:field>
   <dim:field mdschema="others" element="access-status">open.access</dim:field>
</dim:dim>
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