{"id":"https://openalex.org/W2732980463","doi":"https://doi.org/10.1142/s0218196718500455","title":"Automorphisms of partially commutative groups III: Inversions and transvections","display_name":"Automorphisms of partially commutative groups III: Inversions and transvections","publication_year":2018,"publication_date":"2018-06-18","ids":{"openalex":"https://openalex.org/W2732980463","doi":"https://doi.org/10.1142/s0218196718500455","mag":"2732980463"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196718500455","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196718500455","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1706.09517","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022043068","display_name":"Andrew J. Duncan","orcid":"https://orcid.org/0000-0001-8982-6201"},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Andrew J. Duncan","raw_affiliation_strings":["School of Mathematics, Statistics and Physics, Newcastle University, Newcastle upon Tyne, NE1 7RU, United Kingdom","School of Mathematics, Statistics and Physics, Newcastle University, Newcastle Upon Tyne NE1 7RU, United Kingdom"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Statistics and Physics, Newcastle University, Newcastle upon Tyne, NE1 7RU, United Kingdom","institution_ids":["https://openalex.org/I84884186"]},{"raw_affiliation_string":"School of Mathematics, Statistics and Physics, Newcastle University, Newcastle Upon Tyne NE1 7RU, United Kingdom","institution_ids":["https://openalex.org/I84884186"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053190855","display_name":"\u0412. \u041d. \u0420\u0435\u043c\u0435\u0441\u043b\u0435\u043d\u043d\u0438\u043a\u043e\u0432","orcid":"https://orcid.org/0000-0001-8225-0449"},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I4210096862","display_name":"Sobolev Institute of Mathematics","ror":"https://ror.org/00shc0s02","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210096862","https://openalex.org/I4210124601","https://openalex.org/I4210127387"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Vladimir N. Remeslennikov","raw_affiliation_strings":["Sobolev Institute of Mathematics, Russian Academy of Sciences, 13 Pevtsova St., Omsk 644099, Russia"],"affiliations":[{"raw_affiliation_string":"Sobolev Institute of Mathematics, Russian Academy of Sciences, 13 Pevtsova St., Omsk 644099, Russia","institution_ids":["https://openalex.org/I4210096862","https://openalex.org/I1313323035"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5022043068"],"corresponding_institution_ids":["https://openalex.org/I84884186"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0687047,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"28","issue":"06","first_page":"1017","last_page":"1047"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9997000098228455,"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":0.9997000098228455,"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/T11130","display_name":"Coding theory and cryptography","score":0.9959999918937683,"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":0.9758999943733215,"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/automorphism","display_name":"Automorphism","score":0.8771761655807495},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.781646728515625},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.7058079838752747},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.6117252111434937},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.5635668039321899},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5216394066810608},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4940784275531769},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.47001078724861145},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.44995787739753723},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3323880732059479},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10419318079948425},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09200325608253479}],"concepts":[{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.8771761655807495},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.781646728515625},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.7058079838752747},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.6117252111434937},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.5635668039321899},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5216394066810608},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4940784275531769},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.47001078724861145},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.44995787739753723},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3323880732059479},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10419318079948425},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09200325608253479},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1142/s0218196718500455","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196718500455","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"},{"id":"pmh:oai:arXiv.org:1706.09517","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1706.09517","pdf_url":"https://arxiv.org/pdf/1706.09517","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.1706.09517","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1706.09517","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"mag:2732980463","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1706.09517","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1706.09517","pdf_url":"https://arxiv.org/pdf/1706.09517","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2732980463.pdf","grobid_xml":"https://content.openalex.org/works/W2732980463.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W2002599114","https://openalex.org/W2015107886","https://openalex.org/W2017555772","https://openalex.org/W2042107324","https://openalex.org/W2050007657","https://openalex.org/W2120276971","https://openalex.org/W2333395501","https://openalex.org/W2342541965","https://openalex.org/W2962857491","https://openalex.org/W2963359825","https://openalex.org/W2963405514","https://openalex.org/W3101605106","https://openalex.org/W3102911609","https://openalex.org/W3105798967"],"related_works":["https://openalex.org/W3101605106","https://openalex.org/W2011123662","https://openalex.org/W1579054174","https://openalex.org/W2947211140","https://openalex.org/W2303529177","https://openalex.org/W2754704847","https://openalex.org/W1978555896","https://openalex.org/W2476716555","https://openalex.org/W2767029376","https://openalex.org/W2014435761","https://openalex.org/W1581940193","https://openalex.org/W2016502988","https://openalex.org/W2949501848","https://openalex.org/W1965256938","https://openalex.org/W1975734964","https://openalex.org/W2330898990","https://openalex.org/W2909062419","https://openalex.org/W2965505878","https://openalex.org/W952054851","https://openalex.org/W2329264893"],"abstract_inverted_index":{"The":[0],"automorphism":[1],"group":[2,7],"of":[3,16,30,43,45,47,57,68,75,78,92],"a":[4,28,66,73,90],"partially":[5],"commutative":[6],"[Formula:":[8,33,48,58,69,93],"see":[9,34,49,59,70,94],"text]":[10,35,50,71],"is":[11,62],"generated":[12,36,51],"by":[13,37,52],"four":[14],"types":[15],"automorphism:":[17],"graph":[18],"automorphisms,":[19],"inversions,":[20],"transvections":[21],"and":[22,39,81],"vertex":[23],"conjugating":[24],"automorphisms.":[25],"We":[26],"find":[27],"characterisation":[29],"the":[31,53],"subgroup":[32],"inversions":[38],"transvections,":[40],"in":[41,85],"terms":[42],"stabilisers":[44],"subgroups":[46],"so-called":[54],"\u201cadmissible\u201d":[55],"subsets":[56],"text].":[60,95],"This":[61],"used":[63],"to":[64,89],"give":[65],"decomposition":[67],"as":[72],"chain":[74],"semi-direct":[76],"products":[77],"(mostly)":[79],"tractable":[80],"recognisable":[82],"subgroups;":[83],"which":[84],"turn":[86],"gives":[87],"rise":[88],"presentation":[91]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}