{"id":{"repo_id":"umn","oai_identifier":"oai:conservancy.umn.edu:11299/270549"},"canonical_url":"https://search.dev.ndltd.org/etd/umn/oai:conservancy.umn.edu:11299/270549","repository":{"repo_id":"umn","name":"University of Minnesota","base_url":"https://conservancy.umn.edu/server/oai/request"},"display":{"title":"Towards a topological proof of Wright's Theorem","abstract":"Malle's Conjecture concerns the asymptotic behavior of the number of degree-n extensions of a number field with Galois group permutation-isomorphic to G. Using the function field analogy, a similar conjecture can be made for finite extensions of F_q(t), where q is a power of a prime. In fact, a similar conjecture has been proven by Wright (1989), in the case where G is abelian. In this work, we also prove an asymptotic bound on the number of field extensions of F_q(t) in the abelian case, using substantially different methods. This serves to highlight connections between different fields within mathematics and to test the feasibility of the particular method outlined in this paper.","abstract_html":"Malle's Conjecture concerns the asymptotic behavior of the number of degree-n extensions of a number field with Galois group permutation-isomorphic to G. Using the function field analogy, a similar conjecture can be made for finite extensions of F_q(t), where q is a power of a prime. In fact, a similar conjecture has been proven by Wright (1989), in the case where G is abelian. In this work, we also prove an asymptotic bound on the number of field extensions of F_q(t) in the abelian case, using substantially different methods. This serves to highlight connections between different fields within mathematics and to test the feasibility of the particular method outlined in this paper.","abstract_has_math":false,"creators":["de Langis, Mathieu"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2024,"date_issued":"2024-11","date_published":"2024-11","updated_at":"2026-07-24T05:19:46Z","subjects":[],"languages":["en"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://hdl.handle.net/11299/270549","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["de Langis, Mathieu"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2025-03-21T14:57:29Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2025-03-21T14:57:29Z"]},{"key":"dc:date.issued","label":"Date","values":["2024-11"]},{"key":"dc:type","label":"Dc Type","values":["Thesis or Dissertation"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://hdl.handle.net/11299/270549"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["University of Minnesota Ph.D. dissertation.November 2024. Major: Mathematics. Advisor: Craig Westerland. 1 computer file (PDF); ii, 63 pages."]},{"key":"dc:description.abstract","label":"Abstract","values":["Malle's Conjecture concerns the asymptotic behavior of the number of degree-n extensions of a number field with Galois group permutation-isomorphic to G. Using the function field analogy, a similar conjecture can be made for finite extensions of F_q(t), where q is a power of a prime. In fact, a similar conjecture has been proven by Wright (1989), in the case where G is abelian. In this work, we also prove an asymptotic bound on the number of field extensions of F_q(t) in the abelian case, using substantially different methods. This serves to highlight connections between different fields within mathematics and to test the feasibility of the particular method outlined in this paper."]},{"key":"dc:title","label":"Title","values":["Towards a topological proof of Wright's Theorem"]}]}],"canonical_facts":{"dc:creator":["de Langis, Mathieu"],"dc:date.accessioned":["2025-03-21T14:57:29Z"],"dc:date.available":["2025-03-21T14:57:29Z"],"dc:date.issued":["2024-11"],"dc:description":["University of Minnesota Ph.D. dissertation.November 2024. Major: Mathematics. Advisor: Craig Westerland. 1 computer file (PDF); ii, 63 pages."],"dc:description.abstract":["Malle's Conjecture concerns the asymptotic behavior of the number of degree-n extensions of a number field with Galois group permutation-isomorphic to G. Using the function field analogy, a similar conjecture can be made for finite extensions of F_q(t), where q is a power of a prime. In fact, a similar conjecture has been proven by Wright (1989), in the case where G is abelian. In this work, we also prove an asymptotic bound on the number of field extensions of F_q(t) in the abelian case, using substantially different methods. This serves to highlight connections between different fields within mathematics and to test the feasibility of the particular method outlined in this paper."],"dc:identifier.uri":["https://hdl.handle.net/11299/270549"],"dc:language.iso":["en"],"dc:title":["Towards a topological proof of Wright's Theorem"],"dc:type":["Thesis or Dissertation"]},"updated_at":"2026-07-24T05:19:46Z"}