{"id":"https://openalex.org/W68513432","doi":"https://doi.org/10.1090/conm/019/711066","title":"A primer on the Dickson invariants","display_name":"A primer on the Dickson invariants","publication_year":1983,"publication_date":"1983-01-01","ids":{"openalex":"https://openalex.org/W68513432","doi":"https://doi.org/10.1090/conm/019/711066","mag":"68513432"},"language":"es","primary_location":{"id":"doi:10.1090/conm/019/711066","doi":"https://doi.org/10.1090/conm/019/711066","is_oa":false,"landing_page_url":"https://doi.org/10.1090/conm/019/711066","pdf_url":null,"source":{"id":"https://openalex.org/S2764899347","display_name":"Contemporary mathematics - American Mathematical Society","issn_l":"0271-4132","issn":["0271-4132","1098-3627"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1","norway-1"],"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":"Contemporary Mathematics","raw_type":"other"},"volume":{"id":"https://openalex.org/W1577689558","display_name":"Proceedings of the Northwestern Homotopy Theory Conference"},"type":"other","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/A5009107635","display_name":"Clarence W. Wilkerson","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Clarence Wilkerson","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5009107635"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":128,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"421","last_page":"434"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9437999725341797,"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"}},"topics":[{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9437999725341797,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.009700000286102295,"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":0.007499999832361937,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/rings-of-invariants","display_name":"invariant rings","score":0.9020000100135803},{"id":"https://openalex.org/keywords/general-linear-group","display_name":"general linear group","score":0.7210000157356262},{"id":"https://openalex.org/keywords/finite-fields","display_name":"finite fields","score":0.8500000238418579},{"id":"https://openalex.org/keywords/steenrod-algebra","display_name":"Steenrod algebra","score":0.7960000038146973},{"id":"https://openalex.org/keywords/algebraic-topology","display_name":"algebraic topology","score":0.5120000243186951},{"id":"https://openalex.org/keywords/finite-vector-spaces","display_name":"finite vector spaces","score":0.35600000619888306}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8460631370544434},{"id":"https://openalex.org/C2777563447","wikidata":"https://www.wikidata.org/wiki/Q7243397","display_name":"Primer (cosmetics)","level":2,"score":0.7512314915657043},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3242759108543396},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.321164071559906},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.31957390904426575},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.03417450189590454},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1090/conm/019/711066","doi":"https://doi.org/10.1090/conm/019/711066","is_oa":false,"landing_page_url":"https://doi.org/10.1090/conm/019/711066","pdf_url":null,"source":{"id":"https://openalex.org/S2764899347","display_name":"Contemporary mathematics - American Mathematical Society","issn_l":"0271-4132","issn":["0271-4132","1098-3627"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1","norway-1"],"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":"Contemporary Mathematics","raw_type":"other"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.11.8628","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.11.8628","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mathe2.uni-bayreuth.de/axel/papers/./wilkerson:a_primer_on_the_dickson_invariants.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.49.3722","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.49.3722","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hopf.math.purdue.edu/pub/Wilkerson-80s/dickson.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.588.342","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.588.342","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.purdue.edu/~wilker/papers/dickson.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1511192866","https://openalex.org/W1586898120","https://openalex.org/W1600210898","https://openalex.org/W1977168454","https://openalex.org/W1985841611","https://openalex.org/W1987578102","https://openalex.org/W1987949650","https://openalex.org/W2000717267","https://openalex.org/W2017072937","https://openalex.org/W2034991044","https://openalex.org/W2041246243","https://openalex.org/W2051235137","https://openalex.org/W2066856497","https://openalex.org/W2081257302","https://openalex.org/W2093864896","https://openalex.org/W2314507527","https://openalex.org/W2321950138"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"The":[0,79,113],"ring":[1,48,95],"of":[2,5,11,49,63,81,90,93,96,103,110,129],"invariant":[3],"forms":[4],"the":[6,18,26,91,94,101,104,108,111,126,139],"full":[7],"linear":[8],"group":[9],"GL(V)":[10],"a":[12,39,87],"nite":[13,19],"dimensional":[14],"vector":[15],"space":[16],"over":[17],"eld":[20],"Fq":[21],"was":[22,35,122,136],"computed":[23],"early":[24],"in":[25,58,61,118],"20th":[27],"century":[28],"by":[29,138],"L.":[30],"E.":[31],"Dickson":[32],"[5],":[33],"and":[34,76,98],"found":[36,56],"to":[37,85,99,123],"be":[38],"graded":[40],"polynomial":[41],"algebra":[42,106],"on":[43,107],"certain":[44],"generators":[45,109],"fcn;ig.":[46],"This":[47,134],"invariants,":[50,97],"for":[51],"q":[52],"=":[53,132,143,149],"p,":[54],"has":[55],"use":[57],"algebraic":[59],"topology":[60],"work":[62],"Milgram{Man":[64],"[9],":[65],"Singer":[66],"[16,17],":[67],"Adams{Wilkerson":[68],"[1],":[69],"Rector":[70],"[13],":[71],"Lam":[72],"[6],":[73],"Mui":[74],"[11],":[75],"Smith{Switzer":[77],"[18].":[78],"aim":[80],"this":[82],"exposition":[83],"is":[84],"give":[86],"simple":[88],"proof":[89],"structure":[92],"compute":[100],"action":[102],"Steenrod":[105],"invariants.":[112],"methods":[114],"used":[115],"are":[116],"implicit":[117],"Adams{Wilkerson.1":[119],"Dickson\u2019s":[120],"viewpoint":[121],"vastly":[124],"generalize":[125],"dening":[127],"equation":[128,135,141],"Fq,":[130],"Xq":[131,150],"X:":[133],"replaced":[137],"fundamental":[140],"fn(X)":[142],"Y":[144],"v2V":[145],"(X":[146],"\u2212":[147],"v)":[148]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":6},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2025-10-10T00:00:00"}