{"id":"https://openalex.org/W4411406868","doi":"https://doi.org/10.1016/j.aam.2025.102926","title":"On the average number of cycles in conjugacy class products","display_name":"On the average number of cycles in conjugacy class products","publication_year":2025,"publication_date":"2025-06-18","ids":{"openalex":"https://openalex.org/W4411406868","doi":"https://doi.org/10.1016/j.aam.2025.102926"},"language":"en","primary_location":{"id":"doi:10.1016/j.aam.2025.102926","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.aam.2025.102926","pdf_url":null,"source":{"id":"https://openalex.org/S164906323","display_name":"Advances in Applied Mathematics","issn_l":"0196-8858","issn":["0196-8858","1090-2074"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.aam.2025.102926","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024327358","display_name":"Jesse Campion Loth","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jesse Campion Loth","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5067538348","display_name":"Amarpreet Rattan","orcid":null},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Amarpreet Rattan","raw_affiliation_strings":["Simon Fraser University, Burnaby, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Simon Fraser University, Burnaby, Canada","institution_ids":["https://openalex.org/I18014758"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5024327358"],"corresponding_institution_ids":[],"apc_list":{"value":2670,"currency":"USD","value_usd":2670},"apc_paid":{"value":2670,"currency":"USD","value_usd":2670},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18737388,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"170","issue":null,"first_page":"102926","last_page":"102926"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.9991999864578247,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9990000128746033,"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/T10849","display_name":"Finite Group Theory Research","score":0.9876000285148621,"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":0.9519400000572205},{"id":"https://openalex.org/keywords/conjugacy-class","display_name":"Conjugacy class","score":0.8683034181594849},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5665937662124634},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4020158648490906},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3484385907649994}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9519400000572205},{"id":"https://openalex.org/C87945829","wikidata":"https://www.wikidata.org/wiki/Q1353233","display_name":"Conjugacy class","level":2,"score":0.8683034181594849},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5665937662124634},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4020158648490906},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3484385907649994},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.aam.2025.102926","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.aam.2025.102926","pdf_url":null,"source":{"id":"https://openalex.org/S164906323","display_name":"Advances in Applied Mathematics","issn_l":"0196-8858","issn":["0196-8858","1090-2074"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.aam.2025.102926","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.aam.2025.102926","pdf_url":null,"source":{"id":"https://openalex.org/S164906323","display_name":"Advances in Applied Mathematics","issn_l":"0196-8858","issn":["0196-8858","1090-2074"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1975238241","https://openalex.org/W1985872741","https://openalex.org/W1987148020","https://openalex.org/W2010744586","https://openalex.org/W2054448648","https://openalex.org/W2083281846","https://openalex.org/W2324221691","https://openalex.org/W2963014963","https://openalex.org/W4233604521","https://openalex.org/W4239394926","https://openalex.org/W4283695005","https://openalex.org/W6666657241","https://openalex.org/W6791550341"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1746507502","https://openalex.org/W2036654519","https://openalex.org/W1966743441","https://openalex.org/W2325428140","https://openalex.org/W2736946816","https://openalex.org/W2959015588","https://openalex.org/W2117006694","https://openalex.org/W2093068862","https://openalex.org/W1969733735"],"abstract_inverted_index":{"We":[0],"show":[1],"that":[2,29],"for":[3,30],"the":[4,15,47,71],"product":[5,54],"of":[6,18,35,40,50],"permutations":[7,39],"from":[8],"two":[9],"fixed":[10,36],"point":[11,37],"free":[12,38],"conjugacy":[13],"classes,":[14],"average":[16,48],"number":[17,49],"cycles":[19,51],"is":[20,28,55,70],"always":[21],"very":[22],"similar.":[23],"Specifically,":[24],"our":[25],"main":[26],"result":[27],"a":[31],"randomly":[32],"chosen":[33],"pair":[34],"cycle":[41],"types":[42],"\u03b1":[43],"and":[44,61],"\u03b2":[45],",":[46,66],"in":[52],"their":[53],"between":[56],"H":[57,62,68],"n":[58,63,69],"\u2212":[59],"3":[60],"+":[64],"1":[65],"where":[67],"harmonic":[72],"number.":[73]},"counts_by_year":[],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2025-10-10T00:00:00"}