{"id":"https://openalex.org/W1975970681","doi":"https://doi.org/10.1142/s0218196707003937","title":"LINEAR GROUPS OVER LOCALLY FINITE EXTENSIONS OF INFINITE FIELDS","display_name":"LINEAR GROUPS OVER LOCALLY FINITE EXTENSIONS OF INFINITE FIELDS","publication_year":2007,"publication_date":"2007-08-01","ids":{"openalex":"https://openalex.org/W1975970681","doi":"https://doi.org/10.1142/s0218196707003937","mag":"1975970681"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196707003937","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196707003937","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},"type":"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/A5003613822","display_name":"Evgenii L. Bashkirov","orcid":null},"institutions":[{"id":"https://openalex.org/I7452641","display_name":"Belarusian State University of Informatics and Radioelectronics","ror":"https://ror.org/02sehzp52","country_code":"BY","type":"education","lineage":["https://openalex.org/I7452641"]}],"countries":["BY"],"is_corresponding":false,"raw_author_name":"E. L. BASHKIROV","raw_affiliation_strings":["Belorussian State University of Informatics and Radioelectronics, P. Brovki str. 6, Minsk 220013, Belarus"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Belorussian State University of Informatics and Radioelectronics, P. Brovki str. 6, Minsk 220013, Belarus","institution_ids":["https://openalex.org/I7452641"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041935403","display_name":"Gupta Rk","orcid":"https://orcid.org/0000-0003-1607-4867"},"institutions":[{"id":"https://openalex.org/I46247651","display_name":"University of Manitoba","ror":"https://ror.org/02gfys938","country_code":"CA","type":"education","lineage":["https://openalex.org/I46247651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"C. K. GUPTA","raw_affiliation_strings":["Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, Canada R3T2N2, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, Canada R3T2N2, Canada","institution_ids":["https://openalex.org/I46247651"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8724,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.68056697,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"17","issue":"05n06","first_page":"905","last_page":"922"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.9998999834060669,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.9998999834060669,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9994000196456909,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9357064962387085},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.5870805978775024},{"id":"https://openalex.org/keywords/field-extension","display_name":"Field extension","score":0.5851395726203918},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5826102495193481},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5350267887115479},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5279690027236938},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.47734978795051575},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.47585150599479675},{"id":"https://openalex.org/keywords/identity","display_name":"Identity (music)","score":0.468589723110199},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.45229873061180115},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4487350583076477},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.4416678547859192},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42005306482315063},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3597583472728729},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34751570224761963}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9357064962387085},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.5870805978775024},{"id":"https://openalex.org/C103738662","wikidata":"https://www.wikidata.org/wiki/Q577835","display_name":"Field extension","level":3,"score":0.5851395726203918},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5826102495193481},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5350267887115479},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5279690027236938},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.47734978795051575},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.47585150599479675},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.468589723110199},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.45229873061180115},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4487350583076477},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.4416678547859192},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42005306482315063},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3597583472728729},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34751570224761963},{"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","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},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196707003937","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196707003937","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1567200859","https://openalex.org/W1998024490","https://openalex.org/W2092366824","https://openalex.org/W2116929625","https://openalex.org/W3190212900"],"related_works":["https://openalex.org/W2329233232","https://openalex.org/W4243118290","https://openalex.org/W4295094445","https://openalex.org/W1835326893","https://openalex.org/W2147352225","https://openalex.org/W1521664942","https://openalex.org/W1996139403","https://openalex.org/W3089184454","https://openalex.org/W2059732659","https://openalex.org/W4287662791"],"abstract_inverted_index":{"Let":[0],"P":[1,38,45],"be":[2,12,24],"a":[3,71,75,85,93],"field":[4],"of":[5,37,51,61,87],"characteristic":[6],"different":[7],"from":[8],"2,":[9],"let":[10,22],"K":[11,32],"an":[13,18,25,34,47,52],"associative":[14],"commutative":[15],"P-algebra":[16],"with":[17],"identity":[19],"1":[20],"and":[21,44],"n":[23,27,65,82],"integer,":[26],"\u2265":[28],"2.":[29],"Assume":[30],"that":[31,68],"is":[33,46,78],"algebraic":[35,48],"extension":[36,50],"having,":[39],"in":[40,80],"general,":[41],"zero":[42],"divisors":[43],"separable":[49],"infinite":[53],"subfield":[54],"k.":[55,95],"The":[56],"paper":[57],"studies":[58],"subgroups":[59],"X":[60,69],"the":[62],"group":[63,86],"GL":[64,81],"(K)":[66,83],"such":[67],"contains":[70],"root":[72],"k-subgroup,":[73],"i.e.":[74],"subgroup":[76],"which":[77],"conjugate":[79],"to":[84],"all":[88],"matrices":[89],"[Formula:":[90],"see":[91],"text],":[92],"\u2208":[94]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
