{"id":"https://openalex.org/W1967501017","doi":"https://doi.org/10.1145/220346.220381","title":"A nearly linear algorithm for Sylow subgroups in small-base groups","display_name":"A nearly linear algorithm for Sylow subgroups in small-base groups","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W1967501017","doi":"https://doi.org/10.1145/220346.220381","mag":"1967501017"},"language":"en","primary_location":{"id":"doi:10.1145/220346.220381","doi":"https://doi.org/10.1145/220346.220381","is_oa":true,"landing_page_url":"https://doi.org/10.1145/220346.220381","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/220346.220381","source":{"id":"https://openalex.org/S4306420219","display_name":"International Symposium on Symbolic and Algebraic Computation","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 1995 international symposium on Symbolic and algebraic computation - ISSAC '95","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/220346.220381","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003647017","display_name":"Prabhav Marje","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Prabhav Marje","raw_affiliation_strings":["Department of Mathematics, The Ohio State University, Columbus, OH"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Ohio State University, Columbus, OH","institution_ids":["https://openalex.org/I52357470"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5003647017"],"corresponding_institution_ids":["https://openalex.org/I52357470"],"apc_list":null,"apc_paid":null,"fwci":0.5248,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.45578231,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"270","last_page":"277"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9965999722480774,"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"}},"topics":[{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9965999722480774,"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"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.0010999999940395355,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/sylow-p-subgroups","display_name":"Sylow p-subgroups","score":0.8999999761581421},{"id":"https://openalex.org/keywords/permutation-groups","display_name":"permutation groups","score":0.8259999752044678},{"id":"https://openalex.org/keywords/monte-carlo-methods","display_name":"Monte Carlo methods","score":0.8529999852180481},{"id":"https://openalex.org/keywords/nearly-linear-time-algorithms","display_name":"near-linear time algorithms","score":0.6909999847412109},{"id":"https://openalex.org/keywords/finite-simple-groups","display_name":"finite simple groups","score":0.6919999718666077},{"id":"https://openalex.org/keywords/alternating-groups","display_name":"alternating groups","score":0.6620000004768372},{"id":"https://openalex.org/keywords/classical-groups","display_name":"classical groups","score":0.7990000247955322},{"id":"https://openalex.org/keywords/classification-of-finite-simple-groups","display_name":"classification of finite simple groups","score":0.7080000042915344},{"id":"https://openalex.org/keywords/composition-factors","display_name":"composition factors","score":0.38199999928474426}],"concepts":[{"id":"https://openalex.org/C2778805511","wikidata":"https://www.wikidata.org/wiki/Q1713","display_name":"Citation","level":2,"score":0.7638293504714966},{"id":"https://openalex.org/C124535231","wikidata":"https://www.wikidata.org/wiki/Q1057919","display_name":"Sylow theorems","level":4,"score":0.7267723083496094},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5368296504020691},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4705035388469696},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4549318552017212},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.44695860147476196},{"id":"https://openalex.org/C23123220","wikidata":"https://www.wikidata.org/wiki/Q816826","display_name":"Information retrieval","level":1,"score":0.33681127429008484},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.3227323293685913},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3138379454612732},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.1916402280330658},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2777404646","wikidata":"https://www.wikidata.org/wiki/Q1057968","display_name":"Finite group","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/220346.220381","doi":"https://doi.org/10.1145/220346.220381","is_oa":true,"landing_page_url":"https://doi.org/10.1145/220346.220381","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/220346.220381","source":{"id":"https://openalex.org/S4306420219","display_name":"International Symposium on Symbolic and Algebraic Computation","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 1995 international symposium on Symbolic and algebraic computation - ISSAC '95","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/220346.220381","doi":"https://doi.org/10.1145/220346.220381","is_oa":true,"landing_page_url":"https://doi.org/10.1145/220346.220381","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/220346.220381","source":{"id":"https://openalex.org/S4306420219","display_name":"International Symposium on Symbolic and Algebraic Computation","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 1995 international symposium on Symbolic and algebraic computation - ISSAC '95","raw_type":"proceedings-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1967501017.pdf","grobid_xml":"https://content.openalex.org/works/W1967501017.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W192805940","https://openalex.org/W1493654001","https://openalex.org/W1501381924","https://openalex.org/W1528521152","https://openalex.org/W1530075677","https://openalex.org/W1537195693","https://openalex.org/W1570047016","https://openalex.org/W1963939462","https://openalex.org/W1964582653","https://openalex.org/W1999685672","https://openalex.org/W2031510771","https://openalex.org/W2033666770","https://openalex.org/W2035128690","https://openalex.org/W2044263342","https://openalex.org/W2047131975","https://openalex.org/W2047722452","https://openalex.org/W2051170661","https://openalex.org/W2152716310","https://openalex.org/W2156093602","https://openalex.org/W2406528220","https://openalex.org/W2798528163"],"related_works":["https://openalex.org/W192805940","https://openalex.org/W2407130963","https://openalex.org/W2047131975","https://openalex.org/W1968357081","https://openalex.org/W1963649181","https://openalex.org/W2047722452","https://openalex.org/W2156093602","https://openalex.org/W1990638622","https://openalex.org/W2121041602","https://openalex.org/W1602534306"],"abstract_inverted_index":{"Let":[0],"G":[1,19],"be":[2,28],"a":[3,8,29,91],"permutation":[4,97],"group":[5,23],"acting":[6],"on":[7],"finite":[9,101,110],"set":[10],"Q":[11,71],"and":[12,41,72,113,119],"assume":[13],"that":[14],"no":[15],"composition":[16],"factor":[17],"of":[18,24,45,48,52,70,77,96,100,109,122],"is":[20,55,67,74,83],"an":[21],"exceptional":[22],"Lie":[25],"type.Let":[26],"p":[27],"prime,":[30],"New":[31],"Monte":[32],"Carlo":[33],"algorit":[34],"hms":[35],"are":[36],"presented":[37],"for":[38,59,79,86,116],"the":[39,53,68,75,94,107,117],"construction":[40],"conj":[42],"ugat":[43],"ion":[44],"Sylow":[46],"p-subgroups":[47],"G.The":[49],"running":[50,81],"time":[51,82],"algorithms":[54,115],"O(STZ":[56],"log'":[57],"[Gl)":[58],"some":[60],"explicitly":[61],"computable":[62],"constant":[63],"c":[64],"where":[65,104],"n":[66],"size":[69],"s":[73],"number":[76],"generators":[78],"G.This":[80],"nearly":[84],"linear":[85],"small-base":[87],"groups.The":[88],"method":[89],"employs":[90],"reduction":[92],"to":[93],"case":[95],"represent":[98],"ations":[99],"simple":[102,111,123],"groups,":[103],"we":[105],"invoke":[106],"classification":[108],"groups":[112],"design":[114],"alternating":[118],"classical":[120],"families":[121],"groups.":[124]},"counts_by_year":[],"updated_date":"2026-10-06T10:28:23.643775","created_date":"2016-06-24T00:00:00"}
