乐胖代购免代理版

{"id":"https://openalex.org/W1986375968","doi":"https://doi.org/10.1142/s0218196702001176","title":"ENUMERATION OF WHITEHEAD GROUPS OF LOW ORDER","display_name":"ENUMERATION OF WHITEHEAD GROUPS OF LOW ORDER","publication_year":2002,"publication_date":"2002-10-01","ids":{"openalex":"https://openalex.org/W1986375968","doi":"https://doi.org/10.1142/s0218196702001176","mag":"1986375968"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196702001176","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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081056880","display_name":"Murat Alp","orcid":"https://orcid.org/0000-0002-9252-7090"},"institutions":[{"id":"https://openalex.org/I3018710136","display_name":"Dumlupinar University","ror":"https://ror.org/03jtrja12","country_code":"TR","type":"education","lineage":["https://openalex.org/I3018710136"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"MURAT ALP","raw_affiliation_strings":["Dumlup\u0131nar \u00dcniversitesi, Fen-Edebiyat Fak\u00fcltesi, Matematik B\u00f6l\u00fcm\u00fc, K\u00fctahya, Turkey"],"affiliations":[{"raw_affiliation_string":"Dumlup\u0131nar \u00dcniversitesi, Fen-Edebiyat Fak\u00fcltesi, Matematik B\u00f6l\u00fcm\u00fc, K\u00fctahya, Turkey","institution_ids":["https://openalex.org/I3018710136"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5081056880"],"corresponding_institution_ids":["https://openalex.org/I3018710136"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":0,"max":57},"biblio":{"volume":"12","issue":"05","first_page":"645","last_page":"658"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9984,"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":0.9984,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9951,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.978,"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/morphism","display_name":"Morphism","score":0.697525},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.66257644},{"id":"https://openalex.org/keywords/centralizer-and-normalizer","display_name":"Centralizer and normalizer","score":0.51219004},{"id":"https://openalex.org/keywords/group-isomorphism","display_name":"Group isomorphism","score":0.43951124}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8919802},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.7145954},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.70288944},{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.697525},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.66257644},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.55923903},{"id":"https://openalex.org/C206901836","wikidata":"https://www.wikidata.org/wiki/Q208237","display_name":"Monoid","level":2,"score":0.55919695},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.51918566},{"id":"https://openalex.org/C75174853","wikidata":"https://www.wikidata.org/wiki/Q190629","display_name":"Centralizer and normalizer","level":2,"score":0.51219004},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.4877439},{"id":"https://openalex.org/C155190451","wikidata":"https://www.wikidata.org/wiki/Q742064","display_name":"Group isomorphism","level":5,"score":0.43951124},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.41497573},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38660085},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.37413484},{"id":"https://openalex.org/C2988750069","wikidata":"https://www.wikidata.org/wiki/Q60790315","display_name":"Automorphism group","level":3,"score":0.3054466},{"id":"https://openalex.org/C7619685","wikidata":"https://www.wikidata.org/wiki/Q3630548","display_name":"Outer automorphism group","level":4,"score":0.19108981},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196702001176","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":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":16,"referenced_works":["https://openalex.org/W14987248","https://openalex.org/W1971063266","https://openalex.org/W1972305065","https://openalex.org/W1988227068","https://openalex.org/W1988931102","https://openalex.org/W1995257291","https://openalex.org/W2052521544","https://openalex.org/W2055868130","https://openalex.org/W2066963805","https://openalex.org/W2069394351","https://openalex.org/W2088465192","https://openalex.org/W2090215766","https://openalex.org/W2094137555","https://openalex.org/W2114802936","https://openalex.org/W2326896969","https://openalex.org/W4237713313"],"related_works":["https://openalex.org/W4300721103","https://openalex.org/W4213075970","https://openalex.org/W3089691480","https://openalex.org/W2609728038","https://openalex.org/W2406332186","https://openalex.org/W2139874420","https://openalex.org/W2053481867","https://openalex.org/W2036181040","https://openalex.org/W1989359050","https://openalex.org/W1945927862"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,46],"describe":[4],"a":[5,60,73,117],"share":[6],"package":[7],"of":[8,34,43,57,59,70,72,87,94,96,106,119,124,128],"functions":[9,48],"for":[10],"computing":[11],"with":[12,91],"finite,":[13],"permutation":[14],"crossed":[15,35,61,104],"modules,":[16],"cat1-groups":[17,44],"and":[18,45,66],"their":[19],"morphisms,":[20],"written":[21],"using":[22,80],"the":[23,40,50,67,81,92,102,110,120],"[Formula:":[24,63,75],"see":[25,64,76],"text]":[26],"group":[27,86,93],"theory":[28],"programming":[29],"language.":[30],"The":[31,55,84],"category":[32,41],"XMod":[33],"modules":[36],"is":[37,109],"equivalent":[38],"to":[39,100],"Cat1":[42],"include":[47,116],"emulating":[49],"functors":[51],"between":[52],"these":[53],"categories.":[54],"monoid":[56,69],"derivations":[58],"module":[62,105],"text],":[65,77],"corresponding":[68],"sections":[71],"cat1-group":[74],"are":[78,98],"constructed":[79],"Whitehead":[82,85],"multiplication.":[83],"invertible":[88],"derivations,":[89],"together":[90],"automorphisms":[95],"X,":[97],"used":[99],"construct":[101],"actor":[103],"X":[107],"which":[108],"automorphism":[111],"object":[112],"in":[113,133],"XMod.":[114],"We":[115],"table":[118],"350":[121],"isomorphism":[122],"classes":[123],"cat1-structures":[125],"on":[126],"groups":[127],"order":[129],"at":[130],"most":[131],"30":[132],"[2].":[134]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1986375968","counts_by_year":[],"updated_date":"2024-12-09T23:15:21.003829","created_date":"2016-06-24"}