{"id":"https://openalex.org/W2945202010","doi":"https://doi.org/10.1142/s0218196719500383","title":"Isomorphism theorems for classes of cyclically presented groups","display_name":"Isomorphism theorems for classes of cyclically presented groups","publication_year":2019,"publication_date":"2019-03-25","ids":{"openalex":"https://openalex.org/W2945202010","doi":"https://doi.org/10.1142/s0218196719500383","mag":"2945202010"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196719500383","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_indexed_in_scopus":true,"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":true,"oa_status":"green","oa_url":"https://repository.essex.ac.uk/24270/1/MohamedWilliams-IsomorphismsCycPresGps.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066864454","display_name":"E.M. Mohamed","orcid":null},"institutions":[{"id":"https://openalex.org/I299799659","display_name":"Omar Al-Mukhtar University","ror":"https://ror.org/01wykm490","country_code":"LY","type":"education","lineage":["https://openalex.org/I299799659"]}],"countries":["LY"],"is_corresponding":false,"raw_author_name":"Esamaldeen Mohamed","raw_affiliation_strings":["Department of Mathematics, Faculty of Education, Omar-Almukhtar University, Albyda, Libya"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Education, Omar-Almukhtar University, Albyda, Libya","institution_ids":["https://openalex.org/I299799659"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079557793","display_name":"Gerald Williams","orcid":"https://orcid.org/0000-0002-2785-2268"},"institutions":[{"id":"https://openalex.org/I110002522","display_name":"University of Essex","ror":"https://ror.org/02nkf1q06","country_code":"GB","type":"funder","lineage":["https://openalex.org/I110002522"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Gerald Williams","raw_affiliation_strings":["Department of Mathematical Sciences, University of Essex, Wivenhoe Park, Colchester, Essex CO4 3SQ, UK"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Essex, Wivenhoe Park, Colchester, Essex CO4 3SQ, UK","institution_ids":["https://openalex.org/I110002522"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":1,"citation_normalized_percentile":{"value":0.305799,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":61,"max":69},"biblio":{"volume":"29","issue":"06","first_page":"1009","last_page":"1017"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9989,"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"}},"topics":[{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9989,"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/T10849","display_name":"Finite Group Theory Research","score":0.9988,"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.9975,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.7481317}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9145858},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.7481317},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5463633},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.45295298},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.41871062},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41810238},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37192023},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.342211},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06724623},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"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":3,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196719500383","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_indexed_in_scopus":true,"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},{"is_oa":true,"landing_page_url":"https://repository.essex.ac.uk/24270/1/MohamedWilliams-IsomorphismsCycPresGps.pdf","pdf_url":"https://repository.essex.ac.uk/24270/1/MohamedWilliams-IsomorphismsCycPresGps.pdf","source":{"id":"https://openalex.org/S4306401236","display_name":"Open Access at Essex (University of Essex)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I110002522","host_organization_name":"University of Essex","host_organization_lineage":["https://openalex.org/I110002522"],"host_organization_lineage_names":["University of Essex"],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false},{"is_oa":true,"landing_page_url":"http://repository.essex.ac.uk/24270/1/MohamedWilliams-IsomorphismsCycPresGps.pdf","pdf_url":"http://repository.essex.ac.uk/24270/1/MohamedWilliams-IsomorphismsCycPresGps.pdf","source":{"id":"https://openalex.org/S4306401237","display_name":"Open Access at Essex (University of Essex)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I110002522","host_organization_name":"University of Essex","host_organization_lineage":["https://openalex.org/I110002522"],"host_organization_lineage_names":["University of Essex"],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://repository.essex.ac.uk/24270/1/MohamedWilliams-IsomorphismsCycPresGps.pdf","pdf_url":"https://repository.essex.ac.uk/24270/1/MohamedWilliams-IsomorphismsCycPresGps.pdf","source":{"id":"https://openalex.org/S4306401236","display_name":"Open Access at Essex (University of Essex)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I110002522","host_organization_name":"University of Essex","host_organization_lineage":["https://openalex.org/I110002522"],"host_organization_lineage_names":["University of Essex"],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.49,"id":"https://metadata.un.org/sdg/11"}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":12,"referenced_works":["https://openalex.org/W1976680217","https://openalex.org/W2008393748","https://openalex.org/W2033259948","https://openalex.org/W2048404407","https://openalex.org/W2063649969","https://openalex.org/W2081638221","https://openalex.org/W2113698705","https://openalex.org/W2116887413","https://openalex.org/W2125291168","https://openalex.org/W2170133940","https://openalex.org/W2963710959","https://openalex.org/W4238412721"],"related_works":["https://openalex.org/W4366457370","https://openalex.org/W4297914395","https://openalex.org/W4288024920","https://openalex.org/W3119412844","https://openalex.org/W2987986312","https://openalex.org/W2973840772","https://openalex.org/W2898780680","https://openalex.org/W2575225986","https://openalex.org/W2390073374","https://openalex.org/W2112408494"],"abstract_inverted_index":{"We":[0],"consider":[1],"two":[2],"multi-parameter":[3],"classes":[4],"of":[5,21,25,39,55],"cyclically":[6,22],"presented":[7,23],"groups,":[8],"introduced":[9],"by":[10],"Cavicchioli,":[11],"Repov\u0161":[12],"and":[13,31,41,44],"Spaggiari,":[14],"that":[15,52],"contain":[16],"many":[17],"previously":[18,46],"considered":[19],"families":[20],"groups":[24,56],"interest":[26],"both":[27],"for":[28,32],"their":[29,33],"algebraic":[30],"topological":[34],"properties.":[35],"Building":[36],"on":[37],"results":[38],"Bardakov":[40],"Vesnin,":[42],"O\u2019Brien":[43],"the":[45],"named":[47],"authors,":[48],"we":[49],"prove":[50],"theorems":[51],"establish":[53],"isomorphisms":[54],"within":[57],"these":[58],"families.":[59]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2945202010","counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-03-25T05:08:01.074088","created_date":"2019-05-29"}