{"id":"https://openalex.org/W2947758117","doi":"https://doi.org/10.1080/10586458.2021.1926004","title":"A 2-Compact Group as a Spets","display_name":"A 2-Compact Group as a Spets","publication_year":2021,"publication_date":"2021-07-08","ids":{"openalex":"https://openalex.org/W2947758117","doi":"https://doi.org/10.1080/10586458.2021.1926004","mag":"2947758117"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2021.1926004","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2021.1926004","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1906.00898","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034159040","display_name":"Jason Semeraro","orcid":"https://orcid.org/0000-0003-0867-6278"},"institutions":[{"id":"https://openalex.org/I153648349","display_name":"University of Leicester","ror":"https://ror.org/04h699437","country_code":"GB","type":"education","lineage":["https://openalex.org/I153648349"]},{"id":"https://openalex.org/I4210166532","display_name":"Heilbronn Institute for Mathematical Research","ror":"https://ror.org/05ttdgs63","country_code":"GB","type":"facility","lineage":["https://openalex.org/I4210166532"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Jason Semeraro","raw_affiliation_strings":["Heilbronn Institute for Mathematical Research, Department of Mathematics, University of Leicester, Leicester, UK"],"raw_orcid":"https://orcid.org/0000-0003-0867-6278","affiliations":[{"raw_affiliation_string":"Heilbronn Institute for Mathematical Research, Department of Mathematics, University of Leicester, Leicester, UK","institution_ids":["https://openalex.org/I4210166532","https://openalex.org/I153648349"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5034159040"],"corresponding_institution_ids":["https://openalex.org/I153648349","https://openalex.org/I4210166532"],"apc_list":null,"apc_paid":null,"fwci":0.422,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.53573984,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"32","issue":"1","first_page":"140","last_page":"155"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9998999834060669,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9998999834060669,"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/T10849","display_name":"Finite Group Theory Research","score":0.9998000264167786,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6317684650421143},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.6032782793045044},{"id":"https://openalex.org/keywords/compact-group","display_name":"Compact group","score":0.5271223187446594},{"id":"https://openalex.org/keywords/unipotent","display_name":"Unipotent","score":0.5181154608726501},{"id":"https://openalex.org/keywords/homotopy-group","display_name":"Homotopy group","score":0.4957664906978607},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.49187564849853516},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4775451123714447},{"id":"https://openalex.org/keywords/algebraic-group","display_name":"Algebraic group","score":0.4722168743610382},{"id":"https://openalex.org/keywords/classifying-space","display_name":"Classifying space","score":0.4666801691055298},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.4608002007007599},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.45366886258125305},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.4534705579280853},{"id":"https://openalex.org/keywords/section","display_name":"Section (typography)","score":0.43020111322402954},{"id":"https://openalex.org/keywords/locally-compact-space","display_name":"Locally compact space","score":0.42893242835998535},{"id":"https://openalex.org/keywords/group-algebra","display_name":"Group algebra","score":0.4120427966117859},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.4033598303794861},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.40025269985198975},{"id":"https://openalex.org/keywords/lie-group","display_name":"Lie group","score":0.3451874256134033},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.3422561287879944},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.25202447175979614},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2337355613708496},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.229709655046463},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18667179346084595},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.13548621535301208}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6317684650421143},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.6032782793045044},{"id":"https://openalex.org/C130133044","wikidata":"https://www.wikidata.org/wiki/Q1887083","display_name":"Compact group","level":3,"score":0.5271223187446594},{"id":"https://openalex.org/C205633959","wikidata":"https://www.wikidata.org/wiki/Q2494915","display_name":"Unipotent","level":2,"score":0.5181154608726501},{"id":"https://openalex.org/C147688034","wikidata":"https://www.wikidata.org/wiki/Q1626416","display_name":"Homotopy group","level":3,"score":0.4957664906978607},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.49187564849853516},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4775451123714447},{"id":"https://openalex.org/C187173678","wikidata":"https://www.wikidata.org/wiki/Q1695400","display_name":"Algebraic group","level":3,"score":0.4722168743610382},{"id":"https://openalex.org/C64694042","wikidata":"https://www.wikidata.org/wiki/Q5128445","display_name":"Classifying space","level":3,"score":0.4666801691055298},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.4608002007007599},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.45366886258125305},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.4534705579280853},{"id":"https://openalex.org/C2780129039","wikidata":"https://www.wikidata.org/wiki/Q1931107","display_name":"Section (typography)","level":2,"score":0.43020111322402954},{"id":"https://openalex.org/C31498916","wikidata":"https://www.wikidata.org/wiki/Q583034","display_name":"Locally compact space","level":2,"score":0.42893242835998535},{"id":"https://openalex.org/C120047569","wikidata":"https://www.wikidata.org/wiki/Q92795049","display_name":"Group algebra","level":3,"score":0.4120427966117859},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.4033598303794861},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.40025269985198975},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.3451874256134033},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.3422561287879944},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.25202447175979614},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2337355613708496},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.229709655046463},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18667179346084595},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.13548621535301208},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C112698675","wikidata":"https://www.wikidata.org/wiki/Q37038","display_name":"Advertising","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1080/10586458.2021.1926004","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2021.1926004","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:arXiv.org:1906.00898","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1906.00898","pdf_url":"https://arxiv.org/pdf/1906.00898","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":"doi:10.48550/arxiv.1906.00898","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1906.00898","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"mag:2947758117","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1906.00898","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1906.00898","pdf_url":"https://arxiv.org/pdf/1906.00898","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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"},"sustainable_development_goals":[{"score":0.5600000023841858,"display_name":"Life below water","id":"https://metadata.un.org/sdg/14"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W120124575","https://openalex.org/W575620450","https://openalex.org/W585933500","https://openalex.org/W1605283206","https://openalex.org/W1804226239","https://openalex.org/W1976677460","https://openalex.org/W1977009827","https://openalex.org/W2007497697","https://openalex.org/W2026802014","https://openalex.org/W2040077137","https://openalex.org/W2077653630","https://openalex.org/W2081945747","https://openalex.org/W2086360780","https://openalex.org/W2087684319","https://openalex.org/W2146048354","https://openalex.org/W2616338223","https://openalex.org/W2774311484","https://openalex.org/W2962962466","https://openalex.org/W2963265569","https://openalex.org/W2978543919","https://openalex.org/W3093281440","https://openalex.org/W3106314739","https://openalex.org/W3210674578","https://openalex.org/W4300239812"],"related_works":["https://openalex.org/W2963411790","https://openalex.org/W2003823186","https://openalex.org/W1989823742","https://openalex.org/W2428785383","https://openalex.org/W2953379759","https://openalex.org/W2026201757","https://openalex.org/W2058689049","https://openalex.org/W3101119961","https://openalex.org/W1983403415","https://openalex.org/W2038025412","https://openalex.org/W3176259015","https://openalex.org/W412845861","https://openalex.org/W2963551030","https://openalex.org/W1877869358","https://openalex.org/W2139347510","https://openalex.org/W2951316383","https://openalex.org/W2047148430","https://openalex.org/W2142050927","https://openalex.org/W1988245800","https://openalex.org/W2028820085"],"abstract_inverted_index":{"In":[0,28,68],"1993,":[1],"Brou\u00e9,":[2,160],"Malle":[3,161],"and":[4,98,162,190],"Michel":[5,163],"initiated":[6],"the":[7,12,16,85,90,101,134,142,150,165,171,179,200],"study":[8],"of":[9,44,128,137,152,168,173,182,194,202,204],"spetses":[10],"on":[11],"Greek":[13],"island":[14],"bearing":[15],"same":[17],"name.":[18],"These":[19],"are":[20],"mysterious":[21],"objects":[22,82],"attached":[23],"to":[24,133,156],"non-real":[25],"Weyl":[26,65],"groups.":[27],"algebraic":[29],"topology,":[30],"a":[31,36,40,45,77,125,183],"p-compact":[32,51],"group":[33,52,66,93,104],"X":[34,53,88],"is":[35,39,54,89,100,117],"space":[37,135,181],"which":[38,60],"homotopy-theoretic":[41],"p-local":[42],"analogue":[43,193],"compact":[46],"Lie":[47],"group.":[48],"A":[49],"connected":[50],"determined":[55],"by":[56,83,96,107,159],"its":[57,64],"root":[58],"datum":[59],"in":[61,109,207],"turn":[62],"determines":[63],"WX.":[67],"this":[69],"article,":[70],"we":[71,123,188],"give":[72],"strong":[73],"numerical":[74],"evidence":[75],"for":[76,112],"connection":[78],"between":[79],"these":[80],"two":[81],"considering":[84],"case":[86],"when":[87],"exotic":[91],"2-compact":[92],"DI(4)":[94],"constructed":[95,158],"Dwyer\u2013Wilkerson":[97],"WX":[99],"complex":[102],"reflection":[103],"G24\u2245GL3(2)\u00d7C2.":[105],"Inspired":[106],"results":[108],"Deligne\u2013Lusztig":[110],"theory":[111,172],"classical":[113],"groups,":[114],"if":[115],"q":[116],"an":[118,192],"odd":[119],"prime":[120],"power,":[121],"then":[122],"propose":[124],"set":[126,151],"Irr(X(q))":[127,148,208],"\u201cordinary":[129],"irreducible":[130],"characters\u201d":[131],"associated":[132,155],"X(q)":[136,177],"homotopy":[138],"fixed":[139],"points":[140],"under":[141],"unstable":[143],"Adams":[144],"operation":[145],"\u03c8q.":[146],"Notably,":[147],"includes":[149],"unipotent":[153],"characters":[154,203],"G24":[157,169],"from":[164],"Hecke":[166],"algebra":[167],"using":[170],"spetses.":[174],"By":[175],"regarding":[176],"as":[178],"classifying":[180],"Benson\u2013Solomon":[184],"fusion":[185],"system":[186],"Sol(q),":[187],"formulate":[189],"prove":[191],"Robinson\u2019s":[195],"ordinary":[196],"weight":[197],"conjecture":[198],"that":[199],"number":[201],"defect":[205],"d":[206],"can":[209],"be":[210],"counted":[211],"locally.":[212]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
