{"id":{"repo_id":"wfu","oai_identifier":"oai:wakespace.lib.wfu.edu:10339/14713"},"canonical_url":"https://search.dev.ndltd.org/etd/wfu/oai:wakespace.lib.wfu.edu:10339/14713","repository":{"repo_id":"wfu","name":"Wake Forest University","base_url":"https://wakespace.lib.wfu.edu/oai/request"},"display":{"title":"Commutativity Degree of Finite Groups","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.","abstract_html":"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.","abstract_has_math":false,"creators":["Castelaz, Anna"],"institution":"Wake Forest University","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2010,"date_issued":"2010-03-26T16:57:53Z","date_published":"2010-03-26T16:57:53Z","updated_at":"2026-07-27T22:00:55Z","subjects":["commutativity degree"],"languages":["en_US"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/10339/14713","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Castelaz, Anna"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2010-03-26T16:57:53Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2010-03-26T16:57:53Z"]},{"key":"dc:date.issued","label":"Date","values":["2010-03-26T16:57:53Z"]},{"key":"dc:publisher","label":"Institution","values":["Wake Forest University"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["commutativity degree"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en_US"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/10339/14713"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["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."]},{"key":"dc:title","label":"Title","values":["Commutativity Degree of Finite Groups"]}]}],"canonical_facts":{"dc:creator":["Castelaz, Anna"],"dc:date.accessioned":["2010-03-26T16:57:53Z"],"dc:date.available":["2010-03-26T16:57:53Z"],"dc:date.issued":["2010-03-26T16:57:53Z"],"dc:description.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."],"dc:identifier.uri":["http://hdl.handle.net/10339/14713"],"dc:language.iso":["en_US"],"dc:publisher":["Wake Forest University"],"dc:subject":["commutativity degree"],"dc:title":["Commutativity Degree of Finite Groups"],"dc:type":["Thesis"]},"updated_at":"2026-07-27T22:00:55Z"}