{"id":"https://openalex.org/W2055736768","doi":"https://doi.org/10.1142/s0218196712400012","title":"GENERALIZED PRESENTATIONS OF INFINITE GROUPS, IN PARTICULAR OF <font>Aut</font>(F<sub>\u03c9</sub>)","display_name":"GENERALIZED PRESENTATIONS OF INFINITE GROUPS, IN PARTICULAR OF <font>Aut</font>(F<sub>\u03c9</sub>)","publication_year":2012,"publication_date":"2012-09-28","ids":{"openalex":"https://openalex.org/W2055736768","doi":"https://doi.org/10.1142/s0218196712400012","mag":"2055736768"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196712400012","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196712400012","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/21.11116/0000-0004-1EDB-5","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110039715","display_name":"Oleg Bogopolski","orcid":null},"institutions":[{"id":"https://openalex.org/I4210096862","display_name":"Sobolev Institute of Mathematics","ror":"https://ror.org/00shc0s02","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210096862","https://openalex.org/I4210124601","https://openalex.org/I4210127387"]},{"id":"https://openalex.org/I44260953","display_name":"Heinrich Heine University D\u00fcsseldorf","ror":"https://ror.org/024z2rq82","country_code":"DE","type":"education","lineage":["https://openalex.org/I44260953"]}],"countries":["DE","RU"],"is_corresponding":true,"raw_author_name":"OLEG BOGOPOLSKI","raw_affiliation_strings":["Mathematisches Institut, D\u00fcsseldorf University, Universit\u00e4tsstra\u00dfe 1, 40225 D\u00fcsseldorf, Germany","Sobolev Institute of Mathematics of SB RAS, Novosibirsk, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematisches Institut, D\u00fcsseldorf University, Universit\u00e4tsstra\u00dfe 1, 40225 D\u00fcsseldorf, Germany","institution_ids":["https://openalex.org/I44260953"]},{"raw_affiliation_string":"Sobolev Institute of Mathematics of SB RAS, Novosibirsk, Russia","institution_ids":["https://openalex.org/I4210096862"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017410693","display_name":"Wilhelm Singhof","orcid":null},"institutions":[{"id":"https://openalex.org/I44260953","display_name":"Heinrich Heine University D\u00fcsseldorf","ror":"https://ror.org/024z2rq82","country_code":"DE","type":"education","lineage":["https://openalex.org/I44260953"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"WILHELM SINGHOF","raw_affiliation_strings":["Mathematisches Institut, D\u00fcsseldorf University, Universit\u00e4tsstra\u00dfe 1, 40225 D\u00fcsseldorf, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematisches Institut, D\u00fcsseldorf University, Universit\u00e4tsstra\u00dfe 1, 40225 D\u00fcsseldorf, Germany","institution_ids":["https://openalex.org/I44260953"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5110039715"],"corresponding_institution_ids":["https://openalex.org/I4210096862","https://openalex.org/I44260953"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10544363,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"22","issue":"08","first_page":"1240001","last_page":"1240001"},"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.9987999796867371,"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":0.9984999895095825,"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/font","display_name":"Font","score":0.955291748046875},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7791006565093994},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4612506628036499},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35057729482650757},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3203595280647278},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15051165223121643},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14742401242256165}],"concepts":[{"id":"https://openalex.org/C2777737414","wikidata":"https://www.wikidata.org/wiki/Q4868296","display_name":"Font","level":2,"score":0.955291748046875},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7791006565093994},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4612506628036499},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35057729482650757},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3203595280647278},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15051165223121643},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14742401242256165}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0218196712400012","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196712400012","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},{"id":"pmh:oai:edoc.mpg.de:641303","is_oa":false,"landing_page_url":"http://edoc.mpg.de/641303","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Algebra and Computation, v.22 (2012)","raw_type":"Article"},{"id":"pmh:oai:pure.mpg.de:item_3122053","is_oa":true,"landing_page_url":"http://hdl.handle.net/21.11116/0000-0004-1EDB-5","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:pure.mpg.de:item_3122053","is_oa":true,"landing_page_url":"http://hdl.handle.net/21.11116/0000-0004-1EDB-5","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1493863997","https://openalex.org/W1516116134","https://openalex.org/W1967875541","https://openalex.org/W1968075574","https://openalex.org/W1968386737","https://openalex.org/W1984741393","https://openalex.org/W2002599114","https://openalex.org/W2003784043","https://openalex.org/W2015282900","https://openalex.org/W2015626282","https://openalex.org/W2049710581","https://openalex.org/W2051407672","https://openalex.org/W2065087783","https://openalex.org/W2075129694","https://openalex.org/W2076813482","https://openalex.org/W2079393706","https://openalex.org/W2081528551","https://openalex.org/W2088225562","https://openalex.org/W2127805533","https://openalex.org/W2144759015","https://openalex.org/W2152501969","https://openalex.org/W2157266851","https://openalex.org/W2167995006","https://openalex.org/W2323242713","https://openalex.org/W2327122455","https://openalex.org/W3101178155","https://openalex.org/W4292101339"],"related_works":["https://openalex.org/W2402920184","https://openalex.org/W2582695981","https://openalex.org/W2612325988","https://openalex.org/W2483185727","https://openalex.org/W3128815814","https://openalex.org/W2487016776","https://openalex.org/W2592284086","https://openalex.org/W2322748372","https://openalex.org/W4246957482","https://openalex.org/W2490538017"],"abstract_inverted_index":{"We":[0],"develop":[1],"a":[2,11],"theory":[3],"of":[4,7,14,18,22],"generalized":[5,12],"presentations":[6],"groups":[8],"and":[9],"give":[10],"presentation":[13],"the":[15,19],"automorphism":[16],"group":[17,21],"free":[20],"countable":[23],"rank,":[24],"Aut":[25],"(F":[26],"\u03c9":[27],").":[28]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2016-06-24T00:00:00"}