{"id":"https://openalex.org/W2946420072","doi":null,"title":"Self-derived localizations of groups","display_name":"Self-derived localizations of groups","publication_year":2019,"publication_date":"2019-05-18","ids":{"openalex":"https://openalex.org/W2946420072","mag":"2946420072"},"language":"en","primary_location":{"id":"mag:2946420072","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1905.07612","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"arXiv (Cornell University)","raw_type":null},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/abs/1905.07612","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036629613","display_name":"Danil Akhtiamov","orcid":"https://orcid.org/0000-0002-9238-9636","observed_orcids":["https://orcid.org/0000-0002-9238-9636"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Danil Akhtiamov","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042652847","display_name":"Sergei Olegovich Ivanov","orcid":"https://orcid.org/0000-0002-1595-0397","observed_orcids":["https://orcid.org/0000-0002-1595-0397"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sergei O. Ivanov","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-1595-0397","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5108685387","display_name":"Fedor Pavutnitskiy","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fedor Pavutnitskiy","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9887999892234802,"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":0.9887999892234802,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.0015999999595806003,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.0008999999845400453,"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/nilpotent-groups","display_name":"nilpotent groups","score":0.9810000061988831},{"id":"https://openalex.org/keywords/finite-p-groups","display_name":"finite p-groups","score":0.9380000233650208},{"id":"https://openalex.org/keywords/epimorphisms","display_name":"epimorphisms","score":0.9520000219345093},{"id":"https://openalex.org/keywords/bousfield-localization","display_name":"Bousfield localization","score":0.8360000252723694},{"id":"https://openalex.org/keywords/category-of-groups","display_name":"category of groups","score":0.8320000171661377}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.846437931060791},{"id":"https://openalex.org/C16310669","wikidata":"https://www.wikidata.org/wiki/Q1347208","display_name":"Epimorphism","level":2,"score":0.8045650720596313},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6738256216049194},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.6548352241516113},{"id":"https://openalex.org/C50555996","wikidata":"https://www.wikidata.org/wiki/Q840023","display_name":"Nilpotent","level":2,"score":0.5752149820327759},{"id":"https://openalex.org/C172252984","wikidata":"https://www.wikidata.org/wiki/Q368988","display_name":"Idempotence","level":2,"score":0.5578476190567017},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.49327248334884644},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.471698522567749},{"id":"https://openalex.org/C206219070","wikidata":"https://www.wikidata.org/wiki/Q1755242","display_name":"Nilpotent group","level":3,"score":0.4711436331272125},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.45972082018852234},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.41063234210014343},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.39291971921920776},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34637677669525146},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07481887936592102},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.06020468473434448},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0564194917678833},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2946420072","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1905.07612","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"arXiv (Cornell University)","raw_type":null}],"best_oa_location":{"id":"mag:2946420072","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1905.07612","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1530632394","https://openalex.org/W1971238472","https://openalex.org/W2000922387","https://openalex.org/W2005501586","https://openalex.org/W2017776200","https://openalex.org/W2020099412","https://openalex.org/W2028772093","https://openalex.org/W2038698245","https://openalex.org/W2053608823","https://openalex.org/W2063261219","https://openalex.org/W2068148949","https://openalex.org/W2079500909","https://openalex.org/W2090539484","https://openalex.org/W2105864066","https://openalex.org/W2124157030","https://openalex.org/W2168926721","https://openalex.org/W2320351684","https://openalex.org/W2566765036","https://openalex.org/W2963817129","https://openalex.org/W3101492630","https://openalex.org/W4206374171"],"related_works":["https://openalex.org/W2951423195","https://openalex.org/W7100472925","https://openalex.org/W7101025960","https://openalex.org/W2128919067","https://openalex.org/W7221803787","https://openalex.org/W1989834012","https://openalex.org/W4251239611","https://openalex.org/W2494884255","https://openalex.org/W7100547637","https://openalex.org/W7164912292"],"abstract_inverted_index":{"We":[0,35,40,65],"introduce":[1],"several":[2],"classes":[3],"of":[4,11,26,48,79],"localizations":[5,27,44],"(idempotent":[6],"monads)":[7],"on":[8],"the":[9,24,46,58],"category":[10],"groups":[12,50],"and":[13,17,51,71],"study":[14],"their":[15,31],"properties":[16],"relations.":[18],"The":[19],"most":[20],"interesting":[21],"class":[22,25,47],"is":[23,62],"which":[28],"coincide":[29],"with":[30,74],"zero":[32],"derived":[33],"functors.":[34],"call":[36],"them":[37],"self-derived":[38,43],"localizations.":[39],"prove":[41,67],"that":[42,52,68],"preserve":[45],"nilpotent":[49],"for":[53],"a":[54,77],"finite":[55],"$p$-group":[56],"$G$":[57],"map":[59],"$G\\to":[60],"LG$":[61],"an":[63],"epimorphism.":[64],"also":[66],"Bousfield's":[69],"$HR$-localization":[70],"Baumslag's":[72],"$P$-localization":[73],"respect":[75],"to":[76],"set":[78],"primes":[80],"$P$":[81],"are":[82],"self-derived.":[83]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2019-05-29T00:00:00"}
