{"id":"https://openalex.org/W4401055345","doi":"https://doi.org/10.46298/jgcc.2024.16.1.11330","title":"Groups of F-Type","display_name":"Groups of F-Type","publication_year":2024,"publication_date":"2024-07-27","ids":{"openalex":"https://openalex.org/W4401055345","doi":"https://doi.org/10.46298/jgcc.2024.16.1.11330"},"language":"en","primary_location":{"id":"doi:10.46298/jgcc.2024.16.1.11330","is_oa":true,"landing_page_url":"http://dx.doi.org/10.46298/jgcc.2024.16.1.11330","pdf_url":"https://gcc.episciences.org/11330/pdf","source":{"id":"https://openalex.org/S4210228216","display_name":"journal of Groups complexity cryptology","issn_l":"1867-1144","issn":["1867-1144","1869-6104"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310321880","host_organization_name":"\u00c9pisciences.org","host_organization_lineage":["https://openalex.org/P4310321880"],"host_organization_lineage_names":["\u00c9pisciences.org"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"journal of Groups, complexity, cryptology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://gcc.episciences.org/11330/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103120601","display_name":"Benjamin Fine","orcid":null},"institutions":[{"id":"https://openalex.org/I159176309","display_name":"Universit\u00e4t Hamburg","ror":"https://ror.org/00g30e956","country_code":"DE","type":"education","lineage":["https://openalex.org/I159176309"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Benjamin Fine","raw_affiliation_strings":["Department of Mathematics, University of Hamburg, Bundesstra\u00dfe 55, 20146 Hamburg, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Hamburg, Bundesstra\u00dfe 55, 20146 Hamburg, Germany","institution_ids":["https://openalex.org/I159176309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058309886","display_name":"Gerhard Rosenberger","orcid":null},"institutions":[{"id":"https://openalex.org/I159176309","display_name":"Universit\u00e4t Hamburg","ror":"https://ror.org/00g30e956","country_code":"DE","type":"education","lineage":["https://openalex.org/I159176309"]},{"id":"https://openalex.org/I4210141311","display_name":"Staats- und Universit\u00e4tsbibliothek Bremen","ror":"https://ror.org/04cwb1p56","country_code":"DE","type":"archive","lineage":["https://openalex.org/I180437899","https://openalex.org/I4210141311"]},{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Gerhard Rosenberger","raw_affiliation_strings":["Department of Mathematics, University of Bremen, Bibliothekstra\u00dfe 5, 28359 Bremen, Germany","Department of Mathematics, University of Hamburg, Bundesstra\u00dfe 55, 20146 Hamburg, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Bremen, Bibliothekstra\u00dfe 5, 28359 Bremen, Germany","institution_ids":["https://openalex.org/I4210141311","https://openalex.org/I180437899"]},{"raw_affiliation_string":"Department of Mathematics, University of Hamburg, Bundesstra\u00dfe 55, 20146 Hamburg, Germany","institution_ids":["https://openalex.org/I159176309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015453713","display_name":"Leonard Wienke","orcid":null},"institutions":[{"id":"https://openalex.org/I4210141311","display_name":"Staats- und Universit\u00e4tsbibliothek Bremen","ror":"https://ror.org/04cwb1p56","country_code":"DE","type":"archive","lineage":["https://openalex.org/I180437899","https://openalex.org/I4210141311"]},{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]},{"id":"https://openalex.org/I159176309","display_name":"Universit\u00e4t Hamburg","ror":"https://ror.org/00g30e956","country_code":"DE","type":"education","lineage":["https://openalex.org/I159176309"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Leonard Wienke","raw_affiliation_strings":["Department of Mathematics, University of Hamburg, Bundesstra\u00dfe 55, 20146 Hamburg, Germany","Department of Mathematics, University of Bremen, Bibliothekstra\u00dfe 5, 28359 Bremen, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Hamburg, Bundesstra\u00dfe 55, 20146 Hamburg, Germany","institution_ids":["https://openalex.org/I159176309"]},{"raw_affiliation_string":"Department of Mathematics, University of Bremen, Bibliothekstra\u00dfe 5, 28359 Bremen, Germany","institution_ids":["https://openalex.org/I4210141311","https://openalex.org/I180437899"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5103120601"],"corresponding_institution_ids":["https://openalex.org/I159176309"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20599085,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"Volume 16, Issue 1","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","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/T10304","display_name":"Geometric and Algebraic Topology","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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9927999973297119,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9907000064849854,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8139975070953369},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.577986478805542},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5372346043586731},{"id":"https://openalex.org/keywords/torus","display_name":"Torus","score":0.5356767773628235},{"id":"https://openalex.org/keywords/knot","display_name":"Knot (papermaking)","score":0.5159969329833984},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.493224561214447},{"id":"https://openalex.org/keywords/genus","display_name":"Genus","score":0.4914959669113159},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.47818878293037415},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4514738917350769},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.42831629514694214},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4149840474128723},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3379751443862915},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.23190167546272278},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09031769633293152},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08482766151428223},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08046326041221619},{"id":"https://openalex.org/keywords/botany","display_name":"Botany","score":0.06055131554603577},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.049252599477767944}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8139975070953369},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.577986478805542},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5372346043586731},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.5356767773628235},{"id":"https://openalex.org/C2779863119","wikidata":"https://www.wikidata.org/wiki/Q6423048","display_name":"Knot (papermaking)","level":2,"score":0.5159969329833984},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.493224561214447},{"id":"https://openalex.org/C157369684","wikidata":"https://www.wikidata.org/wiki/Q34740","display_name":"Genus","level":2,"score":0.4914959669113159},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.47818878293037415},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4514738917350769},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.42831629514694214},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4149840474128723},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3379751443862915},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.23190167546272278},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09031769633293152},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08482766151428223},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08046326041221619},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.06055131554603577},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.049252599477767944},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.46298/jgcc.2024.16.1.11330","is_oa":true,"landing_page_url":"http://dx.doi.org/10.46298/jgcc.2024.16.1.11330","pdf_url":"https://gcc.episciences.org/11330/pdf","source":{"id":"https://openalex.org/S4210228216","display_name":"journal of Groups complexity cryptology","issn_l":"1867-1144","issn":["1867-1144","1869-6104"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310321880","host_organization_name":"\u00c9pisciences.org","host_organization_lineage":["https://openalex.org/P4310321880"],"host_organization_lineage_names":["\u00c9pisciences.org"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"journal of Groups, complexity, cryptology","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.46298/jgcc.2024.16.1.11330","is_oa":true,"landing_page_url":"http://dx.doi.org/10.46298/jgcc.2024.16.1.11330","pdf_url":"https://gcc.episciences.org/11330/pdf","source":{"id":"https://openalex.org/S4210228216","display_name":"journal of Groups complexity cryptology","issn_l":"1867-1144","issn":["1867-1144","1869-6104"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310321880","host_organization_name":"\u00c9pisciences.org","host_organization_lineage":["https://openalex.org/P4310321880"],"host_organization_lineage_names":["\u00c9pisciences.org"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"journal of Groups, complexity, cryptology","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4401055345.pdf"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1539742871","https://openalex.org/W1546393477","https://openalex.org/W1566710987","https://openalex.org/W1588063161","https://openalex.org/W2034267232","https://openalex.org/W2043461628","https://openalex.org/W2069278244","https://openalex.org/W2130069182","https://openalex.org/W2155037452","https://openalex.org/W2325416986","https://openalex.org/W2327894583","https://openalex.org/W2493013563","https://openalex.org/W2949386401","https://openalex.org/W3146830351","https://openalex.org/W4213075454","https://openalex.org/W4233946704","https://openalex.org/W4249920288","https://openalex.org/W4256366193"],"related_works":["https://openalex.org/W2167530280","https://openalex.org/W3124916295","https://openalex.org/W2022411416","https://openalex.org/W2146447767","https://openalex.org/W1487790116","https://openalex.org/W3197597876","https://openalex.org/W4248544590","https://openalex.org/W1529020016","https://openalex.org/W4381247976","https://openalex.org/W2279767631"],"abstract_inverted_index":{"We":[0],"consider":[1],"a":[2],"class":[3],"of":[4,8,20,27,44,46],"groups,":[5,37],"called":[6],"groups":[7,19,26,34,45],"F-type,":[9],"which":[10],"includes":[11],"some":[12],"known":[13],"and":[14,35,38,41],"important":[15],"classes":[16],"like":[17],"Fuchsian":[18],"geometric":[21,42],"rank":[22],"$\\ge":[23,29],"3$,":[24],"surface":[25],"genus":[28],"2$,":[30],"cyclically":[31],"pinched":[32],"one-relator":[33],"torus-knot":[36],"discuss":[39],"algebraic":[40],"properties":[43],"F-type.":[47]},"counts_by_year":[],"updated_date":"2025-12-26T23:08:49.675405","created_date":"2024-07-31T00:00:00"}
