{"id":"https://openalex.org/W2086349411","doi":"https://doi.org/10.1305/ndjfl/1093636093","title":"More on ${\\germ R}$.","display_name":"More on ${\\germ R}$.","publication_year":1992,"publication_date":"1992-03-01","ids":{"openalex":"https://openalex.org/W2086349411","doi":"https://doi.org/10.1305/ndjfl/1093636093","mag":"2086349411"},"language":"en","primary_location":{"id":"doi:10.1305/ndjfl/1093636093","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093636093","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-33/issue-2/More-on-germ-R/10.1305/ndjfl/1093636093.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-33/issue-2/More-on-germ-R/10.1305/ndjfl/1093636093.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":0.9603,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.76633948,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9613000154495239,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9613000154495239,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9602000117301941,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9488999843597412,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/germ","display_name":"Germ","score":0.6519259214401245},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3587638735771179},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32570233941078186},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.040093421936035156}],"concepts":[{"id":"https://openalex.org/C2780258238","wikidata":"https://www.wikidata.org/wiki/Q2520842","display_name":"Germ","level":2,"score":0.6519259214401245},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3587638735771179},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32570233941078186},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.040093421936035156}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1305/ndjfl/1093636093","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093636093","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-33/issue-2/More-on-germ-R/10.1305/ndjfl/1093636093.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/1093636093","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.ndjfl/1093636093","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/1093636093","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093636093","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-33/issue-2/More-on-germ-R/10.1305/ndjfl/1093636093.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":[{"id":"https://openalex.org/G6541501743","display_name":null,"funder_award_id":"NSERC, Canada","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2086349411.pdf","grobid_xml":"https://content.openalex.org/works/W2086349411.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W1500663616","https://openalex.org/W1973713092","https://openalex.org/W2032326877","https://openalex.org/W2093634372","https://openalex.org/W4251179423","https://openalex.org/W6630008497","https://openalex.org/W6673704690","https://openalex.org/W6676676300"],"related_works":["https://openalex.org/W2748952813","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"],"abstract_inverted_index":{"We":[0,19],"define":[1],"the":[2,25,30,39,46,57,60],"notions":[3],"of":[4,7,14,33,42,49,59,63],"^-primarity":[5],"and":[6,45],"^-connectedness,":[8],"as":[9,11],"well":[10],"an":[12],"analog":[13],"monomial":[15],"U-rank,":[16],"namely":[17],"Frattini-free.":[18],"then":[20],"derive":[21],"some":[22],"results":[23],"concerning":[24],"Frattini-free":[26,31,47,61],"component.":[27],"In":[28],"particular,":[29],"component":[32,48,62],"a":[34,50,64],"semisimple":[35],"stable":[36],"group":[37],"is":[38,67],"direct":[40],"product":[41],"^-connected":[43],"groups,":[44],"soluble":[51],"Sft-group":[52],"has":[53],"nilpotent":[54],"derivative.":[55],"Finally,":[56],"radical":[58],"definable":[65],"9-group":[66],"definable.":[68]},"counts_by_year":[],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
