{"id":"https://openalex.org/W1674870984","doi":"https://doi.org/10.1090/dimacs/015/03","title":"Application of computational tools for finitely presented groups","display_name":"Application of computational tools for finitely presented groups","publication_year":1994,"publication_date":"1994-06-07","ids":{"openalex":"https://openalex.org/W1674870984","doi":"https://doi.org/10.1090/dimacs/015/03","mag":"1674870984"},"language":"en","primary_location":{"id":"doi:10.1090/dimacs/015/03","is_oa":false,"landing_page_url":"https://doi.org/10.1090/dimacs/015/03","pdf_url":null,"source":{"id":"https://openalex.org/S4210177973","display_name":"DIMACS series in discrete mathematics and theoretical computer science","issn_l":"1052-1798","issn":["1052-1798","2472-4793"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"DIMACS Series in Discrete Mathematics and Theoretical Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5085365702","display_name":"George Havas","orcid":null},"institutions":[{"id":"https://openalex.org/I160993911","display_name":"Queensland University of Technology","ror":"https://ror.org/03pnv4752","country_code":"AU","type":"education","lineage":["https://openalex.org/I160993911"]},{"id":"https://openalex.org/I165143802","display_name":"The University of Queensland","ror":"https://ror.org/00rqy9422","country_code":"AU","type":"education","lineage":["https://openalex.org/I165143802"]},{"id":"https://openalex.org/I16835326","display_name":"University of St Andrews","ror":"https://ror.org/02wn5qz54","country_code":"GB","type":"education","lineage":["https://openalex.org/I16835326"]}],"countries":["AU","GB"],"is_corresponding":true,"raw_author_name":"George Havas","raw_affiliation_strings":["Department of Mathematical and Computational Sciences, University of St An-drews, St Andrews KY16 9SS, Scotland","Key Centre for Software Technology, Department of Computer Science, Uni-versity of Queensland, Queensland 4072, Australia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical and Computational Sciences, University of St An-drews, St Andrews KY16 9SS, Scotland","institution_ids":["https://openalex.org/I16835326"]},{"raw_affiliation_string":"Key Centre for Software Technology, Department of Computer Science, Uni-versity of Queensland, Queensland 4072, Australia","institution_ids":["https://openalex.org/I160993911","https://openalex.org/I165143802"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113050040","display_name":"Edmund F. Robertson","orcid":null},"institutions":[{"id":"https://openalex.org/I160993911","display_name":"Queensland University of Technology","ror":"https://ror.org/03pnv4752","country_code":"AU","type":"education","lineage":["https://openalex.org/I160993911"]},{"id":"https://openalex.org/I165143802","display_name":"The University of Queensland","ror":"https://ror.org/00rqy9422","country_code":"AU","type":"education","lineage":["https://openalex.org/I165143802"]},{"id":"https://openalex.org/I16835326","display_name":"University of St Andrews","ror":"https://ror.org/02wn5qz54","country_code":"GB","type":"education","lineage":["https://openalex.org/I16835326"]}],"countries":["AU","GB"],"is_corresponding":false,"raw_author_name":"Edmund Robertson","raw_affiliation_strings":["Department of Mathematical and Computational Sciences, University of St An-drews, St Andrews KY16 9SS, Scotland","Key Centre for Software Technology, Department of Computer Science, Uni-versity of Queensland, Queensland 4072, Australia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical and Computational Sciences, University of St An-drews, St Andrews KY16 9SS, Scotland","institution_ids":["https://openalex.org/I16835326"]},{"raw_affiliation_string":"Key Centre for Software Technology, Department of Computer Science, Uni-versity of Queensland, Queensland 4072, Australia","institution_ids":["https://openalex.org/I160993911","https://openalex.org/I165143802"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5085365702"],"corresponding_institution_ids":["https://openalex.org/I160993911","https://openalex.org/I165143802","https://openalex.org/I16835326"],"apc_list":null,"apc_paid":null,"fwci":2.4151,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.90116279,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"29","last_page":"39"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9973999857902527,"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":0.9973999857902527,"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/T11567","display_name":"semigroups and automata theory","score":0.9966999888420105,"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/T12029","display_name":"DNA and Biological Computing","score":0.9799000024795532,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.7761749029159546},{"id":"https://openalex.org/keywords/finitely-generated-abelian-group","display_name":"Finitely-generated abelian group","score":0.5739908814430237},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5660054087638855},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4870763123035431},{"id":"https://openalex.org/keywords/stallings-theorem-about-ends-of-groups","display_name":"Stallings theorem about ends of groups","score":0.46591687202453613},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4277442693710327},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.42057424783706665},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3566993772983551},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3341212272644043},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2780419588088989}],"concepts":[{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.7761749029159546},{"id":"https://openalex.org/C162860070","wikidata":"https://www.wikidata.org/wiki/Q142140","display_name":"Finitely-generated abelian group","level":2,"score":0.5739908814430237},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5660054087638855},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4870763123035431},{"id":"https://openalex.org/C58249144","wikidata":"https://www.wikidata.org/wiki/Q7597316","display_name":"Stallings theorem about ends of groups","level":3,"score":0.46591687202453613},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4277442693710327},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42057424783706665},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3566993772983551},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3341212272644043},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2780419588088989},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1090/dimacs/015/03","is_oa":false,"landing_page_url":"https://doi.org/10.1090/dimacs/015/03","pdf_url":null,"source":{"id":"https://openalex.org/S4210177973","display_name":"DIMACS series in discrete mathematics and theoretical computer science","issn_l":"1052-1798","issn":["1052-1798","2472-4793"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"DIMACS Series in Discrete Mathematics and Theoretical Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.239.5350","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.239.5350","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math/9406207v1.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1516318957","https://openalex.org/W1525514552","https://openalex.org/W1585378259","https://openalex.org/W1589268055","https://openalex.org/W1597853826","https://openalex.org/W1970751317","https://openalex.org/W1971551964","https://openalex.org/W1978250379","https://openalex.org/W1984958224","https://openalex.org/W1989359050","https://openalex.org/W2007920518","https://openalex.org/W2016433302","https://openalex.org/W2038067223","https://openalex.org/W2038805282","https://openalex.org/W2044759080","https://openalex.org/W2048836603","https://openalex.org/W2050134513","https://openalex.org/W2054012600","https://openalex.org/W2066713307","https://openalex.org/W2070333917","https://openalex.org/W2075432943","https://openalex.org/W2094036767","https://openalex.org/W2130069182","https://openalex.org/W2152178399","https://openalex.org/W2171749105","https://openalex.org/W2231646048","https://openalex.org/W2507006525","https://openalex.org/W2572663193","https://openalex.org/W2767956715","https://openalex.org/W2785294087","https://openalex.org/W2791488526","https://openalex.org/W2913130779","https://openalex.org/W2990892504","https://openalex.org/W3133726852","https://openalex.org/W4206142531","https://openalex.org/W4206615368","https://openalex.org/W4213075970","https://openalex.org/W4230191592","https://openalex.org/W4236872204","https://openalex.org/W4243747911","https://openalex.org/W4248547811"],"related_works":["https://openalex.org/W2952241151","https://openalex.org/W2087413461","https://openalex.org/W1590360997","https://openalex.org/W2101435336","https://openalex.org/W1981717402","https://openalex.org/W2321123445","https://openalex.org/W2089823147","https://openalex.org/W1154677386","https://openalex.org/W2014013251","https://openalex.org/W4205171319"],"abstract_inverted_index":{"Abstract.":[0],"Computer":[1],"based":[2],"techniques":[3,53],"for":[4,14,35],"recognizing":[5],"finitely":[6,37,65],"presented":[7,38,66],"groups":[8,39],"are":[9,17,20,50],"quite":[10],"powerful.":[11],"Tools":[12],"available":[13,21],"this":[15],"purpose":[16],"outlined.":[18],"They":[19],"both":[22],"in":[23,27,85],"stand-alone":[24],"programs":[25],"and":[26,44,48,74],"more":[28],"comprehensive":[29],"systems.":[30],"A":[31],"general":[32],"computational":[33],"approach":[34],"investigating":[36],"by":[40],"way":[41],"of":[42],"quotients":[43],"subgroups":[45],"is":[46,84],"described":[47],"examples":[49],"presented.":[51],"The":[52],"can":[54,68,79],"provide":[55],"detailed":[56],"information":[57],"about":[58],"group":[59,67],"structure.":[60],"Under":[61],"suitable":[62],"circumstances":[63],"a":[64,87],"be":[69,72,80],"shown":[70],"to":[71],"soluble":[73,88],"its":[75],"complete":[76],"derived":[77],"series":[78],"determined,":[81],"using":[82],"what":[83],"effect":[86],"quotient":[89],"algorithm.":[90],"1.":[91]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-07T06:01:17.266235","created_date":"2025-10-10T00:00:00"}