{"id":"https://openalex.org/W2913726225","doi":"https://doi.org/10.1090/mcom/3435","title":"The completion of the $3$-modular character table of the Chevalley group $F_4(2)$ and its covering group","display_name":"The completion of the $3$-modular character table of the Chevalley group $F_4(2)$ and its covering group","publication_year":2019,"publication_date":"2019-03-27","ids":{"openalex":"https://openalex.org/W2913726225","doi":"https://doi.org/10.1090/mcom/3435","mag":"2913726225"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/3435","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3435","pdf_url":"https://www.ams.org/mcom/2019-88-320/S0025-5718-2019-03435-X/S0025-5718-2019-03435-X.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/mcom/2019-88-320/S0025-5718-2019-03435-X/S0025-5718-2019-03435-X.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101525928","display_name":"Thomas Breuer","orcid":"https://orcid.org/0000-0003-3804-8811"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Thomas Breuer","raw_affiliation_strings":["Lehrstuhl D f\u00c3\u00bcr Mathematik, RWTH Aachen University, 52056 Aachen, Germany"],"affiliations":[{"raw_affiliation_string":"Lehrstuhl D f\u00c3\u00bcr Mathematik, RWTH Aachen University, 52056 Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007355603","display_name":"Gerhard Hi\u00df","orcid":null},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Gerhard Hiss","raw_affiliation_strings":["Lehrstuhl D f\u00c3\u00bcr Mathematik, RWTH Aachen University, 52056 Aachen, Germany"],"affiliations":[{"raw_affiliation_string":"Lehrstuhl D f\u00c3\u00bcr Mathematik, RWTH Aachen University, 52056 Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035619748","display_name":"Frank L\u00fcbeck","orcid":null},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Frank L\u00fcbeck","raw_affiliation_strings":["Lehrstuhl D f\u00c3\u00bcr Mathematik, RWTH Aachen University, 52056 Aachen, Germany"],"affiliations":[{"raw_affiliation_string":"Lehrstuhl D f\u00c3\u00bcr Mathematik, RWTH Aachen University, 52056 Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090516155","display_name":"Klaus Lux","orcid":null},"institutions":[{"id":"https://openalex.org/I138006243","display_name":"University of Arizona","ror":"https://ror.org/03m2x1q45","country_code":"US","type":"education","lineage":["https://openalex.org/I138006243"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Klaus Lux","raw_affiliation_strings":["Department of Mathematics, University of Arizona, 617 Santa Rita Road, 85721 Tucson, Arizona"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Arizona, 617 Santa Rita Road, 85721 Tucson, Arizona","institution_ids":["https://openalex.org/I138006243"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101525928"],"corresponding_institution_ids":["https://openalex.org/I887968799"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.11886477,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"88","issue":"320","first_page":"3023","last_page":"3040"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10849","display_name":"Finite Group Theory Research","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":0.9993000030517578,"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/T11130","display_name":"Coding theory and cryptography","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/mathematics","display_name":"Mathematics","score":0.8969533443450928},{"id":"https://openalex.org/keywords/character","display_name":"Character (mathematics)","score":0.7391161322593689},{"id":"https://openalex.org/keywords/character-table","display_name":"Character table","score":0.7389942407608032},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.6649322509765625},{"id":"https://openalex.org/keywords/table","display_name":"Table (database)","score":0.5827378034591675},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.5019683837890625},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4879764914512634},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.379477858543396},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35692504048347473},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09593650698661804},{"id":"https://openalex.org/keywords/database","display_name":"Database","score":0.08256769180297852},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0546267032623291},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.05410432815551758}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8969533443450928},{"id":"https://openalex.org/C2780861071","wikidata":"https://www.wikidata.org/wiki/Q1062934","display_name":"Character (mathematics)","level":2,"score":0.7391161322593689},{"id":"https://openalex.org/C123458925","wikidata":"https://www.wikidata.org/wiki/Q11498021","display_name":"Character table","level":3,"score":0.7389942407608032},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.6649322509765625},{"id":"https://openalex.org/C45235069","wikidata":"https://www.wikidata.org/wiki/Q278425","display_name":"Table (database)","level":2,"score":0.5827378034591675},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.5019683837890625},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4879764914512634},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.379477858543396},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35692504048347473},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09593650698661804},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.08256769180297852},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0546267032623291},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.05410432815551758},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1090/mcom/3435","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3435","pdf_url":"https://www.ams.org/mcom/2019-88-320/S0025-5718-2019-03435-X/S0025-5718-2019-03435-X.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1090/mcom/3435","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3435","pdf_url":"https://www.ams.org/mcom/2019-88-320/S0025-5718-2019-03435-X/S0025-5718-2019-03435-X.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3807021659","display_name":null,"funder_award_id":"SFB TRR195","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G4327925423","display_name":null,"funder_award_id":"SFB-TRR 195 \"Symbolic Tools in Mathematics and their Application\"","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G5739044359","display_name":null,"funder_award_id":"SFB/TRR 195","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2913726225.pdf","grobid_xml":"https://content.openalex.org/works/W2913726225.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W12766527","https://openalex.org/W998573425","https://openalex.org/W1503154552","https://openalex.org/W1515229882","https://openalex.org/W1572931715","https://openalex.org/W1973905978","https://openalex.org/W1976677460","https://openalex.org/W1979514547","https://openalex.org/W1993558622","https://openalex.org/W2026802014","https://openalex.org/W2081779320","https://openalex.org/W2318837283","https://openalex.org/W4248759322"],"related_works":["https://openalex.org/W4297809417","https://openalex.org/W2340668713","https://openalex.org/W2911134218","https://openalex.org/W2087229802","https://openalex.org/W3173870095","https://openalex.org/W4287111436","https://openalex.org/W2009625036","https://openalex.org/W2384873043","https://openalex.org/W3098941416","https://openalex.org/W2769531865"],"abstract_inverted_index":{"Using":[0],"computational":[1],"methods,":[2],"we":[3],"complete":[4],"the":[5,8,13],"determination":[6],"of":[7,12],"$3$-modular":[9],"character":[10],"table":[11],"Chevalley":[14],"group":[15],"$F_4(2)$":[16],"and":[17],"its":[18],"covering":[19],"group.":[20]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
