{"id":"https://openalex.org/W1998346234","doi":"https://doi.org/10.1007/s00153-008-0113-3","title":"Space complexity of Abelian groups","display_name":"Space complexity of Abelian groups","publication_year":2008,"publication_date":"2008-12-11","ids":{"openalex":"https://openalex.org/W1998346234","doi":"https://doi.org/10.1007/s00153-008-0113-3","mag":"1998346234"},"language":"en","primary_location":{"id":"doi:10.1007/s00153-008-0113-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-008-0113-3","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","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/A5057979748","display_name":"Douglas Cenzer","orcid":"https://orcid.org/0000-0002-6029-9900"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Douglas Cenzer","raw_affiliation_strings":["Department of Mathematics, University of Florida, Gainesville, USA","Department of Mathematics, University of Florida, P.O. Box 118105, Gainesville, FL, 32611-8105, USA","[University of Florida]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Florida, Gainesville, USA","institution_ids":["https://openalex.org/I33213144"]},{"raw_affiliation_string":"Department of Mathematics, University of Florida, P.O. Box 118105, Gainesville, FL, 32611-8105, USA","institution_ids":["https://openalex.org/I33213144"]},{"raw_affiliation_string":"[University of Florida]","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071503687","display_name":"Rodney G. Downey","orcid":"https://orcid.org/0000-0003-4381-2845"},"institutions":[{"id":"https://openalex.org/I41156924","display_name":"Victoria University of Wellington","ror":"https://ror.org/0040r6f76","country_code":"NZ","type":"education","lineage":["https://openalex.org/I41156924"]},{"id":"https://openalex.org/I4210137805","display_name":"Victoria School of Management","ror":"https://ror.org/03yvdgx21","country_code":"CH","type":"education","lineage":["https://openalex.org/I4210137805"]}],"countries":["CH","NZ"],"is_corresponding":false,"raw_author_name":"Rodney G. Downey","raw_affiliation_strings":["Department of Mathematics, Victoria University, Wellington, 6140, New Zealand","Department of Mathematics, Victoria University, Wellington, New Zealand","Victoria University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Victoria University, Wellington, 6140, New Zealand","institution_ids":["https://openalex.org/I41156924"]},{"raw_affiliation_string":"Department of Mathematics, Victoria University, Wellington, New Zealand","institution_ids":["https://openalex.org/I41156924"]},{"raw_affiliation_string":"Victoria University","institution_ids":["https://openalex.org/I4210137805"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113511227","display_name":"Jeffrey B. Remmel","orcid":null},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jeffrey B. Remmel","raw_affiliation_strings":["Department of Mathematics, University of California-San Diego, La Jolla, CA, 92093, USA","Department of Mathematics, University of California-San Diego, La Jolla, USA","University of California,  San Diego"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California-San Diego, La Jolla, CA, 92093, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Department of Mathematics, University of California-San Diego, La Jolla, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"University of California,  San Diego","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054349439","display_name":"Zia Uddin","orcid":null},"institutions":[{"id":"https://openalex.org/I1745920","display_name":"University of Wisconsin\u2013Platteville","ror":"https://ror.org/02xpkhc07","country_code":"US","type":"education","lineage":["https://openalex.org/I1745920"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zia Uddin","raw_affiliation_strings":["Department of Mathematics, University of Wisconsin-Platteville, Platteville, USA","Department of Mathematics, University of Wisconsin-Platteville, Platteville, WI, 53818, USA","University of Wisconsin, Platteville"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Wisconsin-Platteville, Platteville, USA","institution_ids":["https://openalex.org/I1745920"]},{"raw_affiliation_string":"Department of Mathematics, University of Wisconsin-Platteville, Platteville, WI, 53818, USA","institution_ids":["https://openalex.org/I1745920"]},{"raw_affiliation_string":"University of Wisconsin, Platteville","institution_ids":["https://openalex.org/I1745920"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5057979748"],"corresponding_institution_ids":["https://openalex.org/I33213144"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.07433867,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"48","issue":"1","first_page":"115","last_page":"140"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998999834060669,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998999834060669,"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/T11567","display_name":"semigroups and automata theory","score":0.9987000226974487,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9983000159263611,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.788500964641571},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.7632063627243042},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.6013727188110352},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4555368423461914},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4311331808567047},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3729005455970764},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3185787498950958}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.788500964641571},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.7632063627243042},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.6013727188110352},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4555368423461914},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4311331808567047},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3729005455970764},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3185787498950958},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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":2,"locations":[{"id":"doi:10.1007/s00153-008-0113-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-008-0113-3","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.148.8581","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.148.8581","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mcs.vuw.ac.nz/~downey/publications/space.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W85644914","https://openalex.org/W187439451","https://openalex.org/W1488688643","https://openalex.org/W1817451992","https://openalex.org/W2003519998","https://openalex.org/W2004277670","https://openalex.org/W2007683043","https://openalex.org/W2013547557","https://openalex.org/W2054338826","https://openalex.org/W2056895958","https://openalex.org/W2079231379","https://openalex.org/W2125463200","https://openalex.org/W2159341052","https://openalex.org/W2165339507","https://openalex.org/W2280910572","https://openalex.org/W2336632556","https://openalex.org/W2487994344","https://openalex.org/W2592184324","https://openalex.org/W2752853835","https://openalex.org/W2798789889","https://openalex.org/W4231938575"],"related_works":["https://openalex.org/W1821847917","https://openalex.org/W2006990530","https://openalex.org/W2963643837","https://openalex.org/W2021494526","https://openalex.org/W776536739","https://openalex.org/W2963456550","https://openalex.org/W3126773016","https://openalex.org/W1522036010","https://openalex.org/W2167154330","https://openalex.org/W1828520037"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2017,"cited_by_count":3}],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2025-10-10T00:00:00"}
