{"id":"https://openalex.org/W1988782547","doi":"https://doi.org/10.1090/s0025-5718-2011-02506-8","title":"On semiregular permutations of a finite set","display_name":"On semiregular permutations of a finite set","publication_year":2011,"publication_date":"2011-08-25","ids":{"openalex":"https://openalex.org/W1988782547","doi":"https://doi.org/10.1090/s0025-5718-2011-02506-8","mag":"1988782547"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-2011-02506-8","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-2011-02506-8","pdf_url":"https://www.ams.org/mcom/2012-81-277/S0025-5718-2011-02506-8/S0025-5718-2011-02506-8.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/mcom/2012-81-277/S0025-5718-2011-02506-8/S0025-5718-2011-02506-8.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050998707","display_name":"Alice C. Niemeyer","orcid":"https://orcid.org/0000-0002-2163-3240"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"The University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Alice Niemeyer","raw_affiliation_strings":["School of Mathematics and Statistics, The University of Western Australia, Perth, WA, 6009, Australia","School of Mathematics and Statistics , The University of Western Australia , Perth , WA , 6009 , Australia"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, The University of Western Australia, Perth, WA, 6009, Australia","institution_ids":["https://openalex.org/I177877127"]},{"raw_affiliation_string":"School of Mathematics and Statistics , The University of Western Australia , Perth , WA , 6009 , Australia","institution_ids":["https://openalex.org/I177877127"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070021266","display_name":"Tomasz Popiel","orcid":"https://orcid.org/0000-0003-2974-1470"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"The University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Tomasz Popiel","raw_affiliation_strings":["School of Mathematics and Statistics, The University of Western Australia, Perth, WA, 6009, Australia","School of Mathematics and Statistics , The University of Western Australia , Perth , WA , 6009 , Australia"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, The University of Western Australia, Perth, WA, 6009, Australia","institution_ids":["https://openalex.org/I177877127"]},{"raw_affiliation_string":"School of Mathematics and Statistics , The University of Western Australia , Perth , WA , 6009 , Australia","institution_ids":["https://openalex.org/I177877127"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043525348","display_name":"Cheryl E. Praeger","orcid":"https://orcid.org/0000-0002-0881-7336"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"The University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Cheryl Praeger","raw_affiliation_strings":["School of Mathematics and Statistics, The University of Western Australia, Perth, WA, 6009, Australia","School of Mathematics and Statistics , The University of Western Australia , Perth , WA , 6009 , Australia"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, The University of Western Australia, Perth, WA, 6009, Australia","institution_ids":["https://openalex.org/I177877127"]},{"raw_affiliation_string":"School of Mathematics and Statistics , The University of Western Australia , Perth , WA , 6009 , Australia","institution_ids":["https://openalex.org/I177877127"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080270383","display_name":"\u015e\u00fckr\u00fc Yal\u00e7\u0131nkaya","orcid":"https://orcid.org/0000-0001-6550-1250"},"institutions":[{"id":"https://openalex.org/I177877127","display_name":"The University of Western Australia","ror":"https://ror.org/047272k79","country_code":"AU","type":"education","lineage":["https://openalex.org/I177877127"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"\u015e\u00fckr\u00fc Yal\u00e7\u0131nkaya","raw_affiliation_strings":["School of Mathematics and Statistics , The University of Western Australia , Perth , WA , 6009 , Australia"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics , The University of Western Australia , Perth , WA , 6009 , Australia","institution_ids":["https://openalex.org/I177877127"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5050998707"],"corresponding_institution_ids":["https://openalex.org/I177877127"],"apc_list":null,"apc_paid":null,"fwci":0.8959,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.67830424,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"81","issue":"277","first_page":"605","last_page":"622"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9976999759674072,"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":0.9976999759674072,"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/T11130","display_name":"Coding theory and cryptography","score":0.9958999752998352,"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"}},{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9954000115394592,"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/mathematics","display_name":"Mathematics","score":0.915753960609436},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8048570156097412},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.7344966530799866},{"id":"https://openalex.org/keywords/divisor","display_name":"Divisor (algebraic geometry)","score":0.6561220288276672},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5798841714859009},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5687973499298096},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37425029277801514}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.915753960609436},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8048570156097412},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.7344966530799866},{"id":"https://openalex.org/C203492994","wikidata":"https://www.wikidata.org/wiki/Q909669","display_name":"Divisor (algebraic geometry)","level":2,"score":0.6561220288276672},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5798841714859009},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5687973499298096},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37425029277801514},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1090/s0025-5718-2011-02506-8","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-2011-02506-8","pdf_url":"https://www.ams.org/mcom/2012-81-277/S0025-5718-2011-02506-8/S0025-5718-2011-02506-8.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:openaire/e806336b-b7a6-403d-a11a-ef37e97bfa3a","is_oa":true,"landing_page_url":"https://admin.research-repository.uwa.edu.au/en/publications/e806336b-b7a6-403d-a11a-ef37e97bfa3a","pdf_url":null,"source":{"id":"https://openalex.org/S4306402523","display_name":"UWA Profiles and Research Repository (University of Western Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177877127","host_organization_name":"The University of Western Australia","host_organization_lineage":["https://openalex.org/I177877127"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Niemeyer, A, Popiel, T, Praeger, C & Yal\u00e7inkaya, S 2011, 'On semiregular permutations of a finite set', Mathematics of Computation, vol. 81, pp. 605-622. https://doi.org/10.1090/S0025-5718-2011-02506-8","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pure.atira.dk:publications/e806336b-b7a6-403d-a11a-ef37e97bfa3a","is_oa":true,"landing_page_url":"https://research-repository.uwa.edu.au/en/publications/e806336b-b7a6-403d-a11a-ef37e97bfa3a","pdf_url":null,"source":{"id":"https://openalex.org/S4306402523","display_name":"UWA Profiles and Research Repository (University of Western Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177877127","host_organization_name":"The University of Western Australia","host_organization_lineage":["https://openalex.org/I177877127"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Niemeyer , A , Popiel , T , Praeger , C &amp; Yal\u00e7inkaya , S 2011 , ' On semiregular permutations of a finite set ' , Mathematics of Computation , vol. 81 , pp. 605-622 . https://doi.org/10.1090/S0025-5718-2011-02506-8","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1090/s0025-5718-2011-02506-8","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0025-5718-2011-02506-8","pdf_url":"https://www.ams.org/mcom/2012-81-277/S0025-5718-2011-02506-8/S0025-5718-2011-02506-8.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1988782547.pdf","grobid_xml":"https://content.openalex.org/works/W1988782547.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1507533182","https://openalex.org/W1971547914","https://openalex.org/W1975359822","https://openalex.org/W1976242587","https://openalex.org/W1997775367","https://openalex.org/W2068312480","https://openalex.org/W2082250090","https://openalex.org/W2094085034","https://openalex.org/W2103342848","https://openalex.org/W2146249772","https://openalex.org/W2165557043","https://openalex.org/W2166387398","https://openalex.org/W2187316143","https://openalex.org/W2305295011","https://openalex.org/W4213216754"],"related_works":["https://openalex.org/W3030122561","https://openalex.org/W1521160908","https://openalex.org/W2806282807","https://openalex.org/W2962767776","https://openalex.org/W1653860348","https://openalex.org/W2918170208","https://openalex.org/W4297433722","https://openalex.org/W2074247864","https://openalex.org/W4287629074","https://openalex.org/W3095434007"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,66],"establish":[4],"upper":[5],"and":[6],"lower":[7],"bounds":[8],"for":[9,137],"the":[10,29,69,168],"proportion":[11,70,169],"of":[12,25,71,170],"permutations":[13,22],"in":[14,74,173],"symmetric":[15],"groups":[16],"which":[17],"power":[18],"up":[19],"to":[20],"semiregular":[21,171],"(permutations":[23],"all":[24],"whose":[26],"cycles":[27],"have":[28],"same":[30],"length).":[31],"Provided":[32],"that":[33,68],"an":[34],"integer":[35],"<inline-formula":[36,53,75,96,140,155,174,195],"content-type=\"math/mathml\">":[37,54,76,97,141,156,175,196],"<mml:math":[38,55,77,98,142,157,176,197],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[39,56,78,99,143,158,177,198],"alttext=\"n\">":[40],"<mml:semantics>":[41,58,83,110,145,160,182,204],"<mml:mi>n</mml:mi>":[42,86,114,185,208],"<mml:annotation":[43,60,88,132,147,162,187,218],"encoding=\"application/x-tex\">n</mml:annotation>":[44],"</mml:semantics>":[45,62,90,134,149,164,189,220],"</mml:math>":[46,63,91,135,150,165,190,221],"</inline-formula>":[47,64,92,136,151,166,191,222],"has":[48],"a":[49],"divisor":[50],"at":[51,94],"most":[52],"alttext=\"d\">":[57,159],"<mml:mi>d</mml:mi>":[59,128,161],"encoding=\"application/x-tex\">d</mml:annotation>":[61,163],",":[65],"show":[67],"such":[72],"elements":[73,172],"alttext=\"upper":[79,178],"S":[80,179],"Subscript":[81,180],"n\">":[82,181],"<mml:msub>":[84,183],"<mml:mi>S</mml:mi>":[85,184],"</mml:msub>":[87,186],"encoding=\"application/x-tex\">S_n</mml:annotation>":[89,188],"is":[93,192],"least":[95],"alttext=\"c":[100],"n":[101,200],"Superscript":[102,201],"negative":[103,202],"1":[104,106],"plus":[105],"slash":[107],"2":[108],"d\">":[109],"<mml:mrow>":[111,205],"<mml:mi>c</mml:mi>":[112,146],"<mml:msup>":[113,207],"<mml:mrow":[115,123,209],"class=\"MJX-TeXAtom-ORD\">":[116,124,210],"<mml:mo>":[117,211],"\u2212":[118,212],"</mml:mo>":[119,213],"<mml:mn>1</mml:mn>":[120,122,214],"<mml:mo>+</mml:mo>":[121],"<mml:mo>/</mml:mo>":[125],"</mml:mrow>":[126,129,131,215,217],"<mml:mn>2</mml:mn>":[127,206],"</mml:msup>":[130,216],"encoding=\"application/x-tex\">cn^{-1+1/2d}</mml:annotation>":[133],"some":[138],"constant":[139],"alttext=\"c\">":[144],"encoding=\"application/x-tex\">c</mml:annotation>":[148],"depending":[152],"only":[153],"on":[154],"whereas":[167],"less":[193],"than":[194],"alttext=\"2":[199],"1\">":[203],"encoding=\"application/x-tex\">2n^{-1}</mml:annotation>":[219],".":[223]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-22T06:01:30.510260","created_date":"2025-10-10T00:00:00"}
