{"id":"https://openalex.org/W1504334271","doi":"https://doi.org/10.1007/3-540-60114-7_36","title":"Computation of the Galois groups of the resolvent factors for the direct and inverse Galois problems","display_name":"Computation of the Galois groups of the resolvent factors for the direct and inverse Galois problems","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W1504334271","doi":"https://doi.org/10.1007/3-540-60114-7_36","mag":"1504334271"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-60114-7_36","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-60114-7_36","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.sorbonne-universite.fr/hal-01672054","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072064238","display_name":"Annick Valibouze","orcid":null},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Annick Valibouze","raw_affiliation_strings":["L.I.T.P., Universit\u00e9 Paris VI, 4 place Jussieu, F-75252, Paris Cedex 05","universit\u00e9 Paris VI"],"affiliations":[{"raw_affiliation_string":"L.I.T.P., Universit\u00e9 Paris VI, 4 place Jussieu, F-75252, Paris Cedex 05","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I204730241"]},{"raw_affiliation_string":"universit\u00e9 Paris VI","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I204730241"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5072064238"],"corresponding_institution_ids":["https://openalex.org/I204730241","https://openalex.org/I39804081"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.6661,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.81304893,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"456","last_page":"468"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/resolvent","display_name":"Resolvent","score":0.917070746421814},{"id":"https://openalex.org/keywords/galois-group","display_name":"Galois group","score":0.8460893630981445},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7021753787994385},{"id":"https://openalex.org/keywords/fundamental-theorem-of-galois-theory","display_name":"Fundamental theorem of Galois theory","score":0.6638153791427612},{"id":"https://openalex.org/keywords/differential-galois-theory","display_name":"Differential Galois theory","score":0.6512294411659241},{"id":"https://openalex.org/keywords/embedding-problem","display_name":"Embedding problem","score":0.6407477855682373},{"id":"https://openalex.org/keywords/univariate","display_name":"Univariate","score":0.5723820328712463},{"id":"https://openalex.org/keywords/generic-polynomial","display_name":"Generic polynomial","score":0.5603795051574707},{"id":"https://openalex.org/keywords/galois-extension","display_name":"Galois extension","score":0.541335940361023},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5284770727157593},{"id":"https://openalex.org/keywords/galois-module","display_name":"Galois module","score":0.499239444732666},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4953378736972809},{"id":"https://openalex.org/keywords/galois-theory","display_name":"Galois theory","score":0.4698176681995392},{"id":"https://openalex.org/keywords/galois-cohomology","display_name":"Galois cohomology","score":0.46442902088165283},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.46184390783309937},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.39047789573669434},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3179289996623993},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.14647632837295532},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12964612245559692},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10321703553199768},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08381366729736328}],"concepts":[{"id":"https://openalex.org/C196267783","wikidata":"https://www.wikidata.org/wiki/Q4392490","display_name":"Resolvent","level":2,"score":0.917070746421814},{"id":"https://openalex.org/C67536143","wikidata":"https://www.wikidata.org/wiki/Q730384","display_name":"Galois group","level":2,"score":0.8460893630981445},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7021753787994385},{"id":"https://openalex.org/C78562435","wikidata":"https://www.wikidata.org/wiki/Q766522","display_name":"Fundamental theorem of Galois theory","level":4,"score":0.6638153791427612},{"id":"https://openalex.org/C197968787","wikidata":"https://www.wikidata.org/wiki/Q2383624","display_name":"Differential Galois theory","level":4,"score":0.6512294411659241},{"id":"https://openalex.org/C35435516","wikidata":"https://www.wikidata.org/wiki/Q5370016","display_name":"Embedding problem","level":3,"score":0.6407477855682373},{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.5723820328712463},{"id":"https://openalex.org/C123450019","wikidata":"https://www.wikidata.org/wiki/Q5532677","display_name":"Generic polynomial","level":5,"score":0.5603795051574707},{"id":"https://openalex.org/C26204071","wikidata":"https://www.wikidata.org/wiki/Q2020004","display_name":"Galois extension","level":3,"score":0.541335940361023},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5284770727157593},{"id":"https://openalex.org/C145899342","wikidata":"https://www.wikidata.org/wiki/Q3427418","display_name":"Galois module","level":2,"score":0.499239444732666},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4953378736972809},{"id":"https://openalex.org/C94398972","wikidata":"https://www.wikidata.org/wiki/Q92552","display_name":"Galois theory","level":2,"score":0.4698176681995392},{"id":"https://openalex.org/C182349385","wikidata":"https://www.wikidata.org/wiki/Q382839","display_name":"Galois cohomology","level":3,"score":0.46442902088165283},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.46184390783309937},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.39047789573669434},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3179289996623993},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.14647632837295532},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12964612245559692},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10321703553199768},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08381366729736328},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/3-540-60114-7_36","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-60114-7_36","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:hal-01672054v1","is_oa":true,"landing_page_url":"https://hal.sorbonne-universite.fr/hal-01672054","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://link.springer.com/chapter/10.1007/3-540-60114-7_36","raw_type":"Book sections"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01672054v1","is_oa":true,"landing_page_url":"https://hal.sorbonne-universite.fr/hal-01672054","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://link.springer.com/chapter/10.1007/3-540-60114-7_36","raw_type":"Book sections"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.4099999964237213,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W610939947","https://openalex.org/W1593626338","https://openalex.org/W1593739670","https://openalex.org/W1981653490","https://openalex.org/W1997236224","https://openalex.org/W2003573719","https://openalex.org/W2007439323","https://openalex.org/W2039863165","https://openalex.org/W2055415534","https://openalex.org/W2080980486","https://openalex.org/W2090454953","https://openalex.org/W2091173339","https://openalex.org/W2321342322"],"related_works":["https://openalex.org/W4206315376","https://openalex.org/W4380323552","https://openalex.org/W959740625","https://openalex.org/W2730690530","https://openalex.org/W2189024741","https://openalex.org/W2899204428","https://openalex.org/W2189039967","https://openalex.org/W2085188345","https://openalex.org/W2005148151","https://openalex.org/W2063902047"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}