{"id":"https://openalex.org/W2036577062","doi":"https://doi.org/10.1305/ndjfl/1093634651","title":"Stable groups, mostly of finite exponent.","display_name":"Stable groups, mostly of finite exponent.","publication_year":1993,"publication_date":"1993-03-01","ids":{"openalex":"https://openalex.org/W2036577062","doi":"https://doi.org/10.1305/ndjfl/1093634651","mag":"2036577062"},"language":"en","primary_location":{"id":"doi:10.1305/ndjfl/1093634651","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093634651","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-34/issue-2/Stable-groups-mostly-of-finite-exponent/10.1305/ndjfl/1093634651.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-34/issue-2/Stable-groups-mostly-of-finite-exponent/10.1305/ndjfl/1093634651.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113593194","display_name":"Frank Olaf Wagner","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Frank O. Wagner","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5113593194"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5412,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.62337934,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"34","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.8970999717712402,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.8970999717712402,"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/exponent","display_name":"Exponent","score":0.7556477189064026},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5593445897102356},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34403443336486816},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.09571760892868042},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.06175383925437927}],"concepts":[{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.7556477189064026},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5593445897102356},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34403443336486816},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.09571760892868042},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.06175383925437927}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1305/ndjfl/1093634651","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093634651","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-34/issue-2/Stable-groups-mostly-of-finite-exponent/10.1305/ndjfl/1093634651.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.ndjfl/1093634651","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.ndjfl/1093634651","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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"}],"best_oa_location":{"id":"doi:10.1305/ndjfl/1093634651","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093634651","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-34/issue-2/Stable-groups-mostly-of-finite-exponent/10.1305/ndjfl/1093634651.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2036577062.pdf","grobid_xml":"https://content.openalex.org/works/W2036577062.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W12140614","https://openalex.org/W1972718081","https://openalex.org/W1973713092","https://openalex.org/W1990215191","https://openalex.org/W2032326877","https://openalex.org/W2058425515","https://openalex.org/W2111449076","https://openalex.org/W2553729695","https://openalex.org/W4251179423","https://openalex.org/W4388290447","https://openalex.org/W6600504507","https://openalex.org/W6643388445","https://openalex.org/W6648045190","https://openalex.org/W6676676300","https://openalex.org/W6729984449","https://openalex.org/W6857973918"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2142036596"],"abstract_inverted_index":{"We":[0,36],"prove":[1,64,80],"certain":[2,76],"properties":[3],"of":[4,7,14,41,49,53,60,67,72,87],"stable":[5,51,88],"groups":[6,59],"finite":[8,15,47,54],"exponent.":[9],"In":[10],"particular,":[11],"an":[12,38,68],"9-group":[13],"exponent":[16,24,55],"has":[17,23],"normal-by-finite":[18],"2-Sylow":[19],"subgroups;":[20],"if":[21],"it":[22,33],"3":[25],"2\"":[26],"for":[27],"some":[28],"n":[29],"<":[30],",":[31],"then":[32],"is":[34,56],"nilpotent-byfinite.":[35],"give":[37],"easy":[39],"proof":[40],"the":[42,65],"fact":[43],"that":[44],"a":[45,50],"locally":[46],"subgroup":[48],"group":[52],"nilpotent-by-finite.":[57],"For":[58],"infinite":[61],"exponent,":[62],"we":[63,79],"definability":[66],"algebraically":[69],"closed":[70],"field":[71],"characteristic":[73],"2":[74],"under":[75],"circumstances.":[77],"Finally,":[78],"two":[81],"general":[82],"propositions":[83],"about":[84],"normal":[85],"subgroups":[86],"groups.":[89]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
