{"id":"https://openalex.org/W7224094265","doi":"https://doi.org/10.5281/zenodo.23731786","title":"A finitely presented nonindicable subgroup of a free profinite group","display_name":"A finitely presented nonindicable subgroup of a free profinite group","publication_year":2026,"publication_date":"2026-10-28","ids":{"openalex":"https://openalex.org/W7224094265","doi":"https://doi.org/10.5281/zenodo.23731786"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23731786","doi":"https://doi.org/10.5281/zenodo.23731786","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23731786","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.23731786","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007326745","display_name":"Martino Lupini","orcid":"https://orcid.org/0000-0003-1588-7057","observed_orcids":["https://orcid.org/0000-0003-1588-7057"]},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Lupini, Martino","raw_affiliation_strings":["University of Bologna"],"raw_orcid":"https://orcid.org/0000-0003-1588-7057","affiliations":[{"raw_affiliation_string":"University of Bologna","institution_ids":["https://openalex.org/I9360294"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5007326745"],"corresponding_institution_ids":["https://openalex.org/I9360294"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.8589000105857849,"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":0.8589000105857849,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.11840000003576279,"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":0.007899999618530273,"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/free-profinite-groups","display_name":"free profinite groups","score":0.9810000061988831},{"id":"https://openalex.org/keywords/locally-indicable-groups","display_name":"locally indicable groups","score":0.9290000200271606},{"id":"https://openalex.org/keywords/finitely-presented-subgroups","display_name":"finitely presented subgroups","score":0.8999999761581421},{"id":"https://openalex.org/keywords/torsion-free-groups","display_name":"torsion-free groups","score":0.8790000081062317},{"id":"https://openalex.org/keywords/abelianization","display_name":"abelianization","score":0.824999988079071},{"id":"https://openalex.org/keywords/normal-subgroups","display_name":"normal subgroups","score":0.6570000052452087}],"concepts":[{"id":"https://openalex.org/C14735163","wikidata":"https://www.wikidata.org/wiki/Q1428923","display_name":"Profinite group","level":3,"score":0.9086999893188477},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8418999910354614},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6643999814987183},{"id":"https://openalex.org/C77021192","wikidata":"https://www.wikidata.org/wiki/Q431078","display_name":"Free group","level":3,"score":0.6200000047683716},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.6103000044822693},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6064000129699707},{"id":"https://openalex.org/C162860070","wikidata":"https://www.wikidata.org/wiki/Q142140","display_name":"Finitely-generated abelian group","level":2,"score":0.6021000146865845},{"id":"https://openalex.org/C105515060","wikidata":"https://www.wikidata.org/wiki/Q743179","display_name":"Normal subgroup","level":3,"score":0.5799999833106995},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5673999786376953},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.5605999827384949},{"id":"https://openalex.org/C95627345","wikidata":"https://www.wikidata.org/wiki/Q1138961","display_name":"Quotient group","level":4,"score":0.520799994468689},{"id":"https://openalex.org/C47527751","wikidata":"https://www.wikidata.org/wiki/Q1454165","display_name":"Free product","level":3,"score":0.5181000232696533},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.47099998593330383},{"id":"https://openalex.org/C134064494","wikidata":"https://www.wikidata.org/wiki/Q6664682","display_name":"Locally finite group","level":3,"score":0.45910000801086426},{"id":"https://openalex.org/C140865510","wikidata":"https://www.wikidata.org/wiki/Q522216","display_name":"Commutator subgroup","level":4,"score":0.41819998621940613},{"id":"https://openalex.org/C2780811992","wikidata":"https://www.wikidata.org/wiki/Q21083858","display_name":"Finitely generated group","level":3,"score":0.40130001306533813},{"id":"https://openalex.org/C58249144","wikidata":"https://www.wikidata.org/wiki/Q7597316","display_name":"Stallings theorem about ends of groups","level":3,"score":0.39489999413490295},{"id":"https://openalex.org/C2777404646","wikidata":"https://www.wikidata.org/wiki/Q1057968","display_name":"Finite group","level":3,"score":0.38749998807907104},{"id":"https://openalex.org/C2779483109","wikidata":"https://www.wikidata.org/wiki/Q4681347","display_name":"Additive group","level":3,"score":0.38359999656677246},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3720000088214874},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36800000071525574},{"id":"https://openalex.org/C81651864","wikidata":"https://www.wikidata.org/wiki/Q874429","display_name":"Group theory","level":2,"score":0.3479999899864197},{"id":"https://openalex.org/C165637685","wikidata":"https://www.wikidata.org/wiki/Q5008459","display_name":"CA-group","level":3,"score":0.3456000089645386},{"id":"https://openalex.org/C76739243","wikidata":"https://www.wikidata.org/wiki/Q16908484","display_name":"Maximal subgroup","level":4,"score":0.2865000069141388},{"id":"https://openalex.org/C20725272","wikidata":"https://www.wikidata.org/wiki/Q245462","display_name":"Cyclic group","level":3,"score":0.27869999408721924},{"id":"https://openalex.org/C143132287","wikidata":"https://www.wikidata.org/wiki/Q3492011","display_name":"Fitting subgroup","level":4,"score":0.27090001106262207},{"id":"https://openalex.org/C186746360","wikidata":"https://www.wikidata.org/wiki/Q759832","display_name":"Solvable group","level":3,"score":0.2644999921321869},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.26350000500679016},{"id":"https://openalex.org/C55792552","wikidata":"https://www.wikidata.org/wiki/Q1464168","display_name":"Index of a subgroup","level":5,"score":0.2612999975681305}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23731786","doi":"https://doi.org/10.5281/zenodo.23731786","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23731786","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.23731787","doi":"https://doi.org/10.5281/zenodo.23731787","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23731787","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.23731786","doi":"https://doi.org/10.5281/zenodo.23731786","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23731786","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320323553","display_name":"Universit\u00e0 di Bologna","ror":"https://ror.org/01111rn36"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1564481944","https://openalex.org/W1982097162","https://openalex.org/W2068405705","https://openalex.org/W2038288787","https://openalex.org/W2550390945","https://openalex.org/W2056770116","https://openalex.org/W4404357754","https://openalex.org/W2025568393","https://openalex.org/W2223270697","https://openalex.org/W1997916753"],"abstract_inverted_index":{"We":[0],"construct":[1],"an":[2],"infinite,":[3],"two-generated,":[4],"finitely":[5,79],"presented":[6,80],"subgroup":[7,46],"H":[8,42],"of":[9,14,25,38,47,64,77,93,101],"the":[10,60,89],"free":[11,22,62,90,99,113],"profinite":[12,23,91],"group":[13,41,63,73,82,92],"rank":[15,26,65,94],"two":[16,29],"whose":[17],"abelianization":[18,85],"is":[19,74],"(\u2124/60\u2124)^2.":[20],"Thus":[21],"groups":[24,104],"at":[27,115],"least":[28],"fail":[30],"to":[31,51],"be":[32],"locally":[33],"indicable,":[34],"disproving":[35],"a":[36,44,75,78,106,111],"conjecture":[37],"Jaikin-Zapirain.":[39],"The":[40,96],"has":[43],"normal":[45],"index":[48],"60":[49],"isomorphic":[50],"F_29":[52],"\u00d7":[53,55],"F_19":[54],"F_11,":[56],"where":[57],"F_r":[58],"denotes":[59],"abstract":[61],"r.":[66],"More":[67],"generally,":[68],"every":[69],"nontrivial":[70],"finite":[71,84,102,108],"perfect":[72],"quotient":[76],"torsion-free":[81],"with":[83],"that":[86],"embeds":[87],"in":[88],"two.":[95],"construction":[97],"combines":[98],"products":[100],"cyclic":[103],"over":[105],"common":[107],"quotient,":[109],"completing":[110],"different":[112],"kernel":[114],"each":[116],"prime.":[117],"GitHub":[118],"repository:":[119],"https://github.com/eulogica/free-profinite-local-indicability":[120]},"counts_by_year":[],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2026-10-29T00:00:00"}
