{"id":"https://openalex.org/W1999642421","doi":"https://doi.org/10.1016/0012-365x(89)90173-8","title":"The genus of low rank hamiltonian groups","display_name":"The genus of low rank hamiltonian groups","publication_year":1989,"publication_date":"1989-01-01","ids":{"openalex":"https://openalex.org/W1999642421","doi":"https://doi.org/10.1016/0012-365x(89)90173-8","mag":"1999642421"},"language":"en","primary_location":{"id":"doi:10.1016/0012-365x(89)90173-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(89)90173-8","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","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/A5009207700","display_name":"Toma\u017e Pisanski","orcid":"https://orcid.org/0000-0002-1257-5376"},"institutions":[{"id":"https://openalex.org/I153976015","display_name":"University of Ljubljana","ror":"https://ror.org/05njb9z20","country_code":"SI","type":"education","lineage":["https://openalex.org/I153976015"]},{"id":"https://openalex.org/I36053171","display_name":"California State University, Chico","ror":"https://ror.org/027bzz146","country_code":"US","type":"education","lineage":["https://openalex.org/I36053171"]}],"countries":["SI","US"],"is_corresponding":false,"raw_author_name":"Toma\u017e Pisanski","raw_affiliation_strings":["California State University at Chico, Chico, CA 95929, U.S.A","Univerza v Ljubljani, 61111 Ljubljana, Yugoslavia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"California State University at Chico, Chico, CA 95929, U.S.A","institution_ids":["https://openalex.org/I36053171"]},{"raw_affiliation_string":"Univerza v Ljubljani, 61111 Ljubljana, Yugoslavia","institution_ids":["https://openalex.org/I153976015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022919726","display_name":"Thomas W. Tucker","orcid":"https://orcid.org/0000-0002-7868-6925"},"institutions":[{"id":"https://openalex.org/I39660569","display_name":"Colgate University","ror":"https://ror.org/05d23ve83","country_code":"US","type":"education","lineage":["https://openalex.org/I39660569"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Thomas W. Tucker","raw_affiliation_strings":["Colgate University, Hamilton, NY 13346, U.S.A","Colgate University, Hamilton NY 13346, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Colgate University, Hamilton, NY 13346, U.S.A","institution_ids":["https://openalex.org/I39660569"]},{"raw_affiliation_string":"Colgate University, Hamilton NY 13346, U.S.A","institution_ids":["https://openalex.org/I39660569"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.8452,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.59851301,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"78","issue":"1-2","first_page":"157","last_page":"167"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9984999895095825,"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":0.9984999895095825,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9842000007629395,"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"}},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.98089998960495,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8867119550704956},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7218539118766785},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.7029933929443359},{"id":"https://openalex.org/keywords/genus","display_name":"Genus","score":0.542772650718689},{"id":"https://openalex.org/keywords/elementary-abelian-group","display_name":"Elementary abelian group","score":0.5398051738739014},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5158481001853943},{"id":"https://openalex.org/keywords/direct-product","display_name":"Direct product","score":0.4885757863521576},{"id":"https://openalex.org/keywords/rank-of-an-abelian-group","display_name":"Rank of an abelian group","score":0.464009165763855},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4611400067806244},{"id":"https://openalex.org/keywords/quaternion","display_name":"Quaternion","score":0.4399987757205963},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.42119163274765015},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.41133323311805725},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3688167929649353},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06687557697296143},{"id":"https://openalex.org/keywords/botany","display_name":"Botany","score":0.04854851961135864}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8867119550704956},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7218539118766785},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.7029933929443359},{"id":"https://openalex.org/C157369684","wikidata":"https://www.wikidata.org/wiki/Q34740","display_name":"Genus","level":2,"score":0.542772650718689},{"id":"https://openalex.org/C81008192","wikidata":"https://www.wikidata.org/wiki/Q1017231","display_name":"Elementary abelian group","level":3,"score":0.5398051738739014},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5158481001853943},{"id":"https://openalex.org/C58193220","wikidata":"https://www.wikidata.org/wiki/Q1778193","display_name":"Direct product","level":2,"score":0.4885757863521576},{"id":"https://openalex.org/C200681373","wikidata":"https://www.wikidata.org/wiki/Q1260803","display_name":"Rank of an abelian group","level":4,"score":0.464009165763855},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4611400067806244},{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.4399987757205963},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.42119163274765015},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.41133323311805725},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3688167929649353},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06687557697296143},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.04854851961135864},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0012-365x(89)90173-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(89)90173-8","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","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":6,"referenced_works":["https://openalex.org/W1558273801","https://openalex.org/W1990034619","https://openalex.org/W2042102353","https://openalex.org/W2048445857","https://openalex.org/W2890899946","https://openalex.org/W4213089498"],"related_works":["https://openalex.org/W1999189963","https://openalex.org/W37379289","https://openalex.org/W2004460156","https://openalex.org/W2708535589","https://openalex.org/W2070941974","https://openalex.org/W3017700689","https://openalex.org/W2009465652","https://openalex.org/W3202796508","https://openalex.org/W4200381501","https://openalex.org/W2109426599"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}