{"id":"https://openalex.org/W1525276863","doi":"https://doi.org/10.37236/3974","title":"On the Group of Alternating Colored Permutations","display_name":"On the Group of Alternating Colored Permutations","publication_year":2014,"publication_date":"2014-05-09","ids":{"openalex":"https://openalex.org/W1525276863","doi":"https://doi.org/10.37236/3974","mag":"1525276863"},"language":"en","primary_location":{"id":"doi:10.37236/3974","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3974","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v21i2p29/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v21i2p29/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027674293","display_name":"Eli Bagno","orcid":null},"institutions":[{"id":"https://openalex.org/I192238737","display_name":"Jerusalem College of Technology","ror":"https://ror.org/002kenh51","country_code":"IL","type":"education","lineage":["https://openalex.org/I192238737"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Eli Bagno","raw_affiliation_strings":["Jerusalem College of Technology"],"affiliations":[{"raw_affiliation_string":"Jerusalem College of Technology","institution_ids":["https://openalex.org/I192238737"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101617303","display_name":"David Garber","orcid":"https://orcid.org/0000-0003-3869-9710"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"David Garber","raw_affiliation_strings":["Department of Applied Mathematics\r\nFaculty of Sciences\r\nHolon Institute of Technology","Department of Applied Mathematics#R##N#Faculty of Sciences#R##N#Holon Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics\r\nFaculty of Sciences\r\nHolon Institute of Technology","institution_ids":[]},{"raw_affiliation_string":"Department of Applied Mathematics#R##N#Faculty of Sciences#R##N#Holon Institute of Technology","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024416044","display_name":"Toufik Mansour","orcid":"https://orcid.org/0000-0001-8028-2391"},"institutions":[{"id":"https://openalex.org/I91203450","display_name":"University of Haifa","ror":"https://ror.org/02f009v59","country_code":"IL","type":"education","lineage":["https://openalex.org/I91203450"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Toufik Mansour","raw_affiliation_strings":["University of Haifa"],"affiliations":[{"raw_affiliation_string":"University of Haifa","institution_ids":["https://openalex.org/I91203450"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5027674293"],"corresponding_institution_ids":["https://openalex.org/I192238737"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.03715718,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"21","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998999834060669,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998999834060669,"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/T11428","display_name":"Advanced Mathematical Identities","score":0.972000002861023,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11269","display_name":"Algorithms and Data Compression","score":0.9679999947547913,"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/combinatorics","display_name":"Combinatorics","score":0.8635236024856567},{"id":"https://openalex.org/keywords/coxeter-group","display_name":"Coxeter group","score":0.796157717704773},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7919096946716309},{"id":"https://openalex.org/keywords/wreath-product","display_name":"Wreath product","score":0.7034145593643188},{"id":"https://openalex.org/keywords/alternating-group","display_name":"Alternating group","score":0.6391813158988953},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5678233504295349},{"id":"https://openalex.org/keywords/symmetric-group","display_name":"Symmetric group","score":0.4804055988788605},{"id":"https://openalex.org/keywords/lift","display_name":"Lift (data mining)","score":0.4762137830257416},{"id":"https://openalex.org/keywords/colored","display_name":"Colored","score":0.46653252840042114},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4335823357105255},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15053117275238037},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14059287309646606}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8635236024856567},{"id":"https://openalex.org/C143669375","wikidata":"https://www.wikidata.org/wiki/Q7874246","display_name":"Coxeter group","level":2,"score":0.796157717704773},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7919096946716309},{"id":"https://openalex.org/C95635736","wikidata":"https://www.wikidata.org/wiki/Q1786640","display_name":"Wreath product","level":3,"score":0.7034145593643188},{"id":"https://openalex.org/C38847919","wikidata":"https://www.wikidata.org/wiki/Q438814","display_name":"Alternating group","level":3,"score":0.6391813158988953},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5678233504295349},{"id":"https://openalex.org/C128622974","wikidata":"https://www.wikidata.org/wiki/Q849512","display_name":"Symmetric group","level":2,"score":0.4804055988788605},{"id":"https://openalex.org/C139002025","wikidata":"https://www.wikidata.org/wiki/Q3001212","display_name":"Lift (data mining)","level":2,"score":0.4762137830257416},{"id":"https://openalex.org/C2778307483","wikidata":"https://www.wikidata.org/wiki/Q5149038","display_name":"Colored","level":2,"score":0.46653252840042114},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4335823357105255},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15053117275238037},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14059287309646606},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/3974","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3974","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v21i2p29/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/3974","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3974","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v21i2p29/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1525276863.pdf","grobid_xml":"https://content.openalex.org/works/W1525276863.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W15085825","https://openalex.org/W112671161","https://openalex.org/W138648790","https://openalex.org/W1576318936","https://openalex.org/W1584901588","https://openalex.org/W1866212260","https://openalex.org/W1983716911","https://openalex.org/W1984955036","https://openalex.org/W2009190506","https://openalex.org/W2036994651","https://openalex.org/W2046788435","https://openalex.org/W2046924091","https://openalex.org/W2084502776","https://openalex.org/W2084903501","https://openalex.org/W2182665660","https://openalex.org/W2584828944","https://openalex.org/W2963042176","https://openalex.org/W2963769272","https://openalex.org/W3088734221","https://openalex.org/W4231093917","https://openalex.org/W4298196831"],"related_works":["https://openalex.org/W25066479","https://openalex.org/W4287027350","https://openalex.org/W2093199794","https://openalex.org/W1647250037","https://openalex.org/W3186797171","https://openalex.org/W4300636413","https://openalex.org/W2159799096","https://openalex.org/W4294973829","https://openalex.org/W2077274316","https://openalex.org/W4381516451"],"abstract_inverted_index":{"The":[0],"group":[1,29,44,82],"of":[2,10,48,56,76,83],"alternating":[3,13,84],"colored":[4,85],"permutations":[5],"is":[6],"the":[7,11,16,32,63,81],"natural":[8],"analogue":[9],"classical":[12],"group,":[14],"inside":[15],"wreath":[17],"product":[18],"$\\mathbb{Z}_r":[19],"\\wr":[20,50,78],"S_n$.":[21],"We":[22,66],"present":[23,42],"a":[24,46],"'Coxeter-like'":[25],"presentation":[26],"for":[27,62],"this":[28,43,54,69],"and":[30,52],"compute":[31],"length":[33,64],"function":[34],"with":[35],"respect":[36],"to":[37,58,71,80],"that":[38],"presentation.":[39],"Then,":[40],"we":[41],"as":[45],"covering":[47,70],"$\\mathbb{Z}_{\\frac{r}{2}}":[49,77],"S_n$":[51,79],"use":[53,68],"point":[55],"view":[57],"give":[59],"another":[60],"expression":[61],"function.":[65],"also":[67],"lift":[72],"several":[73],"known":[74],"parameters":[75],"permutations.":[86]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}