{"id":"https://openalex.org/W2004793105","doi":"https://doi.org/10.1007/s00224-010-9264-9","title":"Tilings and Submonoids of Metabelian Groups","display_name":"Tilings and Submonoids of Metabelian Groups","publication_year":2010,"publication_date":"2010-04-09","ids":{"openalex":"https://openalex.org/W2004793105","doi":"https://doi.org/10.1007/s00224-010-9264-9","mag":"2004793105"},"language":"en","primary_location":{"id":"doi:10.1007/s00224-010-9264-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-010-9264-9","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"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":"Theory of Computing Systems","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/A5005500210","display_name":"Markus Lohrey","orcid":"https://orcid.org/0000-0002-4680-7198"},"institutions":[{"id":"https://openalex.org/I926574661","display_name":"Leipzig University","ror":"https://ror.org/03s7gtk40","country_code":"DE","type":"education","lineage":["https://openalex.org/I926574661"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Markus Lohrey","raw_affiliation_strings":["Institut f\u00fcr Informatik, Universit\u00e4t Leipzig, Leipzig, Germany","Universit\u00c4t Leipzig, Institut f\u00fcr Informatik, Leipzig, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik, Universit\u00e4t Leipzig, Leipzig, Germany","institution_ids":["https://openalex.org/I926574661"]},{"raw_affiliation_string":"Universit\u00c4t Leipzig, Institut f\u00fcr Informatik, Leipzig, Germany","institution_ids":["https://openalex.org/I926574661"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056602969","display_name":"Benjamin Steinberg","orcid":"https://orcid.org/0000-0003-3636-4255"},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Benjamin Steinberg","raw_affiliation_strings":["School of Mathematics and Statistics, Carleton University, Ottawa, ON, Canada","Carleton University, School of Mathematics and Statistics, Ottawa, ON, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Carleton University, Ottawa, ON, Canada","institution_ids":["https://openalex.org/I67031392"]},{"raw_affiliation_string":"Carleton University, School of Mathematics and Statistics, Ottawa, ON, Canada","institution_ids":["https://openalex.org/I67031392"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005500210"],"corresponding_institution_ids":["https://openalex.org/I926574661"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":1.9084,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.84961663,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"48","issue":"2","first_page":"411","last_page":"427"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9998000264167786,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9998000264167786,"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":0.9995999932289124,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9926000237464905,"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/undecidable-problem","display_name":"Undecidable problem","score":0.9691390991210938},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6770591735839844},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6023563146591187},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.49889421463012695},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.46476778388023376},{"id":"https://openalex.org/keywords/wreath-product","display_name":"Wreath product","score":0.45235708355903625},{"id":"https://openalex.org/keywords/free-product","display_name":"Free product","score":0.41018903255462646},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3817213773727417},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3117367625236511},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.28398847579956055},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05599305033683777},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.05314740538597107}],"concepts":[{"id":"https://openalex.org/C192034797","wikidata":"https://www.wikidata.org/wiki/Q3502995","display_name":"Undecidable problem","level":3,"score":0.9691390991210938},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6770591735839844},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6023563146591187},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.49889421463012695},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46476778388023376},{"id":"https://openalex.org/C95635736","wikidata":"https://www.wikidata.org/wiki/Q1786640","display_name":"Wreath product","level":3,"score":0.45235708355903625},{"id":"https://openalex.org/C47527751","wikidata":"https://www.wikidata.org/wiki/Q1454165","display_name":"Free product","level":3,"score":0.41018903255462646},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3817213773727417},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3117367625236511},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.28398847579956055},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05599305033683777},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.05314740538597107},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00224-010-9264-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-010-9264-9","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"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":"Theory of Computing Systems","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.244.1953","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.244.1953","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/0903.0648v1.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.317.3455","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.317.3455","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.informatik.uni-leipzig.de/~lohrey/09-METABEL.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":27,"referenced_works":["https://openalex.org/W195011219","https://openalex.org/W1505482284","https://openalex.org/W1516979491","https://openalex.org/W1549008998","https://openalex.org/W1965938273","https://openalex.org/W1970153334","https://openalex.org/W1971435636","https://openalex.org/W1972191248","https://openalex.org/W1976137475","https://openalex.org/W1987543317","https://openalex.org/W1997031552","https://openalex.org/W2010714867","https://openalex.org/W2011039300","https://openalex.org/W2017025480","https://openalex.org/W2049550828","https://openalex.org/W2063867781","https://openalex.org/W2070408436","https://openalex.org/W2080896750","https://openalex.org/W2161913867","https://openalex.org/W2952465819","https://openalex.org/W2963524305","https://openalex.org/W4205846616","https://openalex.org/W4206142531","https://openalex.org/W4231272811","https://openalex.org/W4249493606","https://openalex.org/W4285719527","https://openalex.org/W6680557283"],"related_works":["https://openalex.org/W1864714479","https://openalex.org/W2950088186","https://openalex.org/W126373124","https://openalex.org/W4301852774","https://openalex.org/W2168290037","https://openalex.org/W2950863133","https://openalex.org/W2963386734","https://openalex.org/W4312059547","https://openalex.org/W2738725921","https://openalex.org/W4283211720"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}