{"id":"https://openalex.org/W2056036729","doi":"https://doi.org/10.1080/10586458.2005.10128905","title":"Wildly Ramified Galois Representations and a Generalization of a Conjecture of Serre","display_name":"Wildly Ramified Galois Representations and a Generalization of a Conjecture of Serre","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2056036729","doi":"https://doi.org/10.1080/10586458.2005.10128905","mag":"2056036729"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2005.10128905","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2005.10128905","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055113951","display_name":"Darrin Doud","orcid":"https://orcid.org/0000-0002-1061-2989"},"institutions":[{"id":"https://openalex.org/I100005738","display_name":"Brigham Young University","ror":"https://ror.org/047rhhm47","country_code":"US","type":"education","lineage":["https://openalex.org/I100005738"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Darrin Doud","raw_affiliation_strings":["Department of Mathematics, Brigham Young University, 292 TMCB, Provo, UT 84602"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Brigham Young University, 292 TMCB, Provo, UT 84602","institution_ids":["https://openalex.org/I100005738"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5055113951"],"corresponding_institution_ids":["https://openalex.org/I100005738"],"apc_list":null,"apc_paid":null,"fwci":0.4184,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.60415315,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"14","issue":"1","first_page":"119","last_page":"127"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8618583679199219},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.8487421274185181},{"id":"https://openalex.org/keywords/galois-module","display_name":"Galois module","score":0.7638859748840332},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6993181705474854},{"id":"https://openalex.org/keywords/galois-group","display_name":"Galois group","score":0.5960545539855957},{"id":"https://openalex.org/keywords/galois-extension","display_name":"Galois extension","score":0.5808968544006348},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5314043760299683},{"id":"https://openalex.org/keywords/fundamental-theorem-of-galois-theory","display_name":"Fundamental theorem of Galois theory","score":0.515619695186615},{"id":"https://openalex.org/keywords/differential-galois-theory","display_name":"Differential Galois theory","score":0.5037330985069275},{"id":"https://openalex.org/keywords/galois-cohomology","display_name":"Galois cohomology","score":0.4888705611228943},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.418520987033844},{"id":"https://openalex.org/keywords/collatz-conjecture","display_name":"Collatz conjecture","score":0.4175850450992584},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05871739983558655}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8618583679199219},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.8487421274185181},{"id":"https://openalex.org/C145899342","wikidata":"https://www.wikidata.org/wiki/Q3427418","display_name":"Galois module","level":2,"score":0.7638859748840332},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6993181705474854},{"id":"https://openalex.org/C67536143","wikidata":"https://www.wikidata.org/wiki/Q730384","display_name":"Galois group","level":2,"score":0.5960545539855957},{"id":"https://openalex.org/C26204071","wikidata":"https://www.wikidata.org/wiki/Q2020004","display_name":"Galois extension","level":3,"score":0.5808968544006348},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5314043760299683},{"id":"https://openalex.org/C78562435","wikidata":"https://www.wikidata.org/wiki/Q766522","display_name":"Fundamental theorem of Galois theory","level":4,"score":0.515619695186615},{"id":"https://openalex.org/C197968787","wikidata":"https://www.wikidata.org/wiki/Q2383624","display_name":"Differential Galois theory","level":4,"score":0.5037330985069275},{"id":"https://openalex.org/C182349385","wikidata":"https://www.wikidata.org/wiki/Q382839","display_name":"Galois cohomology","level":3,"score":0.4888705611228943},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.418520987033844},{"id":"https://openalex.org/C128814272","wikidata":"https://www.wikidata.org/wiki/Q837314","display_name":"Collatz conjecture","level":3,"score":0.4175850450992584},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05871739983558655}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1080/10586458.2005.10128905","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2005.10128905","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.em/1120145575","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.em/1120145575","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.535.921","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.535.921","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.byu.edu/~doud/Papers/Wild-Galois.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W567507864","https://openalex.org/W1529471319","https://openalex.org/W1604721544","https://openalex.org/W1963958197","https://openalex.org/W1989512300","https://openalex.org/W2001572759","https://openalex.org/W2005161768","https://openalex.org/W2024807883","https://openalex.org/W2063075148","https://openalex.org/W2074811056"],"related_works":["https://openalex.org/W92122087","https://openalex.org/W2962735649","https://openalex.org/W4380323552","https://openalex.org/W4206315376","https://openalex.org/W2189024741","https://openalex.org/W2473700917","https://openalex.org/W959740625","https://openalex.org/W1568570249","https://openalex.org/W1999806526","https://openalex.org/W2098184515"],"abstract_inverted_index":{"Serre's":[0],"conjecture":[1,18,36],"relates":[2],"two-dimensional":[3],"odd":[4],"irreducible":[5],"characteristic":[6],"p":[7],"representations":[8,44],"to":[9,20,24],"modular":[10],"forms.":[11],"We":[12],"discuss":[13],"a":[14,32],"generalization":[15],"of":[16,34,40],"this":[17,51],"(due":[19],"Ash":[21],"and":[22,45],"Sinnott)":[23],"higherdimensional":[25],"Galois":[26,43],"representations.":[27],"In":[28],"particular,":[29],"we":[30,46],"give":[31],"refinement":[33],"the":[35,38],"in":[37],"case":[39],"wildly":[41],"ramified":[42],"provide":[47],"computational":[48],"evidence":[49],"for":[50],"refinement.":[52]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}