{"id":"https://openalex.org/W1968912257","doi":"https://doi.org/10.1142/s0218196797000022","title":"Defining Relations and the Algebraic Structure of the Group <font>SL</font><sub>2</sub> over Integral Hamilton Quaternions","display_name":"Defining Relations and the Algebraic Structure of the Group <font>SL</font><sub>2</sub> over Integral Hamilton Quaternions","publication_year":1997,"publication_date":"1997-02-01","ids":{"openalex":"https://openalex.org/W1968912257","doi":"https://doi.org/10.1142/s0218196797000022","mag":"1968912257"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196797000022","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196797000022","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/A5037924292","display_name":"\u0421\u0435\u0440\u0433\u0435\u0439 \u0418\u0432\u0430\u043d\u043e\u0432\u0438\u0447 \u0410\u0434\u044f\u043d","orcid":"https://orcid.org/0000-0002-9212-761X"},"institutions":[{"id":"https://openalex.org/I2801160905","display_name":"Steklov Mathematical Institute","ror":"https://ror.org/03zeg8w71","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801160905","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"S. I. Adian","raw_affiliation_strings":["Steklov Mathematical Institute, Vavilov str. 42, 117966 Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Steklov Mathematical Institute, Vavilov str. 42, 117966 Moscow, Russia","institution_ids":["https://openalex.org/I2801160905"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043484440","display_name":"I. Lysionok","orcid":null},"institutions":[{"id":"https://openalex.org/I2801160905","display_name":"Steklov Mathematical Institute","ror":"https://ror.org/03zeg8w71","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801160905","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"I. G. Lysionok","raw_affiliation_strings":["Steklov Mathematical Institute, Vavilov str. 42, 117966 Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Steklov Mathematical Institute, Vavilov str. 42, 117966 Moscow, Russia","institution_ids":["https://openalex.org/I2801160905"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111529724","display_name":"J. Mennicke","orcid":null},"institutions":[{"id":"https://openalex.org/I20121455","display_name":"Bielefeld University","ror":"https://ror.org/02hpadn98","country_code":"DE","type":"education","lineage":["https://openalex.org/I20121455"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"J. G. Mennicke","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Bielefeld, 4800 Bielefeld 1 Postfach 8640, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Bielefeld, 4800 Bielefeld 1 Postfach 8640, Germany","institution_ids":["https://openalex.org/I20121455"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.10278509,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"07","issue":"01","first_page":"1","last_page":"24"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9725000262260437,"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"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9725000262260437,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9606000185012817,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T11130","display_name":"Coding theory and cryptography","score":0.9354000091552734,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7698565721511841},{"id":"https://openalex.org/keywords/quaternion","display_name":"Quaternion","score":0.5991665720939636},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5738883018493652},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5042468309402466},{"id":"https://openalex.org/keywords/algebraic-group","display_name":"Algebraic group","score":0.4323594570159912},{"id":"https://openalex.org/keywords/group-ring","display_name":"Group ring","score":0.4187273383140564},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4184267520904541},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35238131880760193},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.31207799911499023},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0988558828830719}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7698565721511841},{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.5991665720939636},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5738883018493652},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5042468309402466},{"id":"https://openalex.org/C187173678","wikidata":"https://www.wikidata.org/wiki/Q1695400","display_name":"Algebraic group","level":3,"score":0.4323594570159912},{"id":"https://openalex.org/C76572486","wikidata":"https://www.wikidata.org/wiki/Q2602722","display_name":"Group ring","level":3,"score":0.4187273383140564},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4184267520904541},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35238131880760193},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.31207799911499023},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0988558828830719},{"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/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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196797000022","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196797000022","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2032302995","https://openalex.org/W629777583","https://openalex.org/W2729334446","https://openalex.org/W1586816886","https://openalex.org/W2060522356","https://openalex.org/W2951507641","https://openalex.org/W1970170306","https://openalex.org/W2274232282","https://openalex.org/W2282328000","https://openalex.org/W2059747401"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
