{"id":"https://openalex.org/W2932807391","doi":"https://doi.org/10.1142/s0218196721500235","title":"Palindromes in finite groups and the Explorer-Director game","display_name":"Palindromes in finite groups and the Explorer-Director game","publication_year":2021,"publication_date":"2021-01-25","ids":{"openalex":"https://openalex.org/W2932807391","doi":"https://doi.org/10.1142/s0218196721500235","mag":"2932807391"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196721500235","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196721500235","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1904.00467","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052620173","display_name":"Dagur T\u00f3mas \u00c1sgeirsson","orcid":"https://orcid.org/0000-0003-3002-0320"},"institutions":[{"id":"https://openalex.org/I165368041","display_name":"University of Iceland","ror":"https://ror.org/01db6h964","country_code":"IS","type":"education","lineage":["https://openalex.org/I165368041"]}],"countries":["IS"],"is_corresponding":true,"raw_author_name":"Dagur T\u00f3mas \u00c1sgeirsson","raw_affiliation_strings":["Faculty of Physical Sciences, University of Iceland, Reykjav\u00edk, Iceland","University\u00a0of\u00a0Iceland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Physical Sciences, University of Iceland, Reykjav\u00edk, Iceland","institution_ids":["https://openalex.org/I165368041"]},{"raw_affiliation_string":"University\u00a0of\u00a0Iceland","institution_ids":["https://openalex.org/I165368041"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018223065","display_name":"Pat Devlin","orcid":"https://orcid.org/0000-0002-6616-2315"},"institutions":[{"id":"https://openalex.org/I32971472","display_name":"Yale University","ror":"https://ror.org/03v76x132","country_code":"US","type":"education","lineage":["https://openalex.org/I32971472"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pat Devlin","raw_affiliation_strings":["Department of Mathematics, Yale University, New Haven CT, United States","Yale University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Yale University, New Haven CT, United States","institution_ids":["https://openalex.org/I32971472"]},{"raw_affiliation_string":"Yale University","institution_ids":["https://openalex.org/I32971472"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052620173"],"corresponding_institution_ids":["https://openalex.org/I165368041"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00119257,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"31","issue":"03","first_page":"491","last_page":"499"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9990000128746033,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9988999962806702,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9975000023841858,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/corollary","display_name":"Corollary","score":0.82118821144104},{"id":"https://openalex.org/keywords/nilpotent","display_name":"Nilpotent","score":0.5998928546905518},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5667870044708252},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4676283001899719},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4619579315185547},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4270956814289093},{"id":"https://openalex.org/keywords/sequential-game","display_name":"Sequential game","score":0.42304155230522156},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.41851216554641724},{"id":"https://openalex.org/keywords/combinatorial-game-theory","display_name":"Combinatorial game theory","score":0.41506555676460266},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38211196660995483},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3455067276954651},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3414604663848877},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33000418543815613},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.3152042627334595},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.21646037697792053},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12032762169837952}],"concepts":[{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.82118821144104},{"id":"https://openalex.org/C50555996","wikidata":"https://www.wikidata.org/wiki/Q840023","display_name":"Nilpotent","level":2,"score":0.5998928546905518},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5667870044708252},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4676283001899719},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4619579315185547},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4270956814289093},{"id":"https://openalex.org/C73795354","wikidata":"https://www.wikidata.org/wiki/Q287618","display_name":"Sequential game","level":3,"score":0.42304155230522156},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.41851216554641724},{"id":"https://openalex.org/C102234262","wikidata":"https://www.wikidata.org/wiki/Q1320931","display_name":"Combinatorial game theory","level":4,"score":0.41506555676460266},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38211196660995483},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3455067276954651},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3414604663848877},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33000418543815613},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.3152042627334595},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.21646037697792053},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12032762169837952},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1142/s0218196721500235","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196721500235","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1904.00467","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1904.00467","pdf_url":"https://arxiv.org/pdf/1904.00467","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2932807391","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1904.00467","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1904.00467","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1904.00467","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1904.00467","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1904.00467","pdf_url":"https://arxiv.org/pdf/1904.00467","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2932807391.pdf"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W1526858975","https://openalex.org/W1971590891","https://openalex.org/W1997225910","https://openalex.org/W2038873778","https://openalex.org/W2063837162","https://openalex.org/W2065444014","https://openalex.org/W2067900427","https://openalex.org/W2149654794","https://openalex.org/W2150339067","https://openalex.org/W2164222717","https://openalex.org/W2517012413","https://openalex.org/W2983322129"],"related_works":["https://openalex.org/W2964033505","https://openalex.org/W2949788449","https://openalex.org/W2963634586","https://openalex.org/W1651697906","https://openalex.org/W1978033620","https://openalex.org/W3099506205","https://openalex.org/W3101306110","https://openalex.org/W2789259776","https://openalex.org/W2963660016","https://openalex.org/W2090069032","https://openalex.org/W3183323862","https://openalex.org/W2078827069","https://openalex.org/W2496285452","https://openalex.org/W3100184137","https://openalex.org/W2612382362","https://openalex.org/W3002876452","https://openalex.org/W2056197124","https://openalex.org/W3101561779","https://openalex.org/W3014612888","https://openalex.org/W2950434965"],"abstract_inverted_index":{"In":[0,52],"this":[1],"paper,":[2],"we":[3,54,72],"use":[4],"the":[5,17,25,33,38,56,59,63,74],"notion":[6],"of":[7,12,29,61],"twisted":[8,66],"subgroups":[9],"(i.e.":[10],"subsets":[11],"group":[13],"elements":[14],"closed":[15],"under":[16],"binary":[18],"operation":[19],"[Formula:":[20],"see":[21],"text])":[22],"to":[23,47,58],"provide":[24],"first":[26],"structural":[27],"characterization":[28],"optimal":[30],"play":[31],"in":[32],"Explorer-Director":[34,75],"game,":[35],"introduced":[36],"as":[37,69],"Magnus\u2013Derek":[39],"game":[40,57,76],"by":[41,50],"Nedev":[42],"and":[43,45,68],"Muthukrishnan":[44],"generalized":[46],"finite":[48],"groups":[49],"Gerbner.":[51],"particular,":[53],"reduce":[55],"problem":[60],"finding":[62],"largest":[64],"proper":[65],"subgroup,":[67],"a":[70],"corollary":[71],"resolve":[73],"completely":[77],"for":[78],"all":[79],"nilpotent":[80],"groups.":[81]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
