{"id":"https://openalex.org/W7212000573","doi":"https://doi.org/10.48550/arxiv.2609.06516","title":"Group having 13 cyclic subgroups","display_name":"Group having 13 cyclic subgroups","publication_year":2026,"publication_date":"2026-09-06","ids":{"openalex":"https://openalex.org/W7212000573","doi":"https://doi.org/10.48550/arxiv.2609.06516"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.06516","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.06516","pdf_url":"https://arxiv.org/pdf/2609.06516","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.06516","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017283135","display_name":"Khyati Sharma","orcid":"https://orcid.org/0009-0007-4432-9085","observed_orcids":["https://orcid.org/0009-0007-4432-9085"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Sharma, Khyati","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5017283135"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":1.0,"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":1.0,"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/T12504","display_name":"Mathematics and Applications","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.0,"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/finite-groups","display_name":"finite groups","score":0.8320000171661377},{"id":"https://openalex.org/keywords/cyclic-subgroups","display_name":"cyclic subgroups","score":0.9919999837875366},{"id":"https://openalex.org/keywords/classification-of-groups","display_name":"classification of groups","score":0.7689999938011169},{"id":"https://openalex.org/keywords/group-structure","display_name":"group structure","score":0.46399998664855957}],"concepts":[{"id":"https://openalex.org/C20725272","wikidata":"https://www.wikidata.org/wiki/Q245462","display_name":"Cyclic group","level":3,"score":0.650600016117096},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.602400004863739},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5288000106811523},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.454800009727478},{"id":"https://openalex.org/C2777404646","wikidata":"https://www.wikidata.org/wiki/Q1057968","display_name":"Finite group","level":3,"score":0.42640000581741333},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.42399999499320984},{"id":"https://openalex.org/C81651864","wikidata":"https://www.wikidata.org/wiki/Q874429","display_name":"Group theory","level":2,"score":0.35109999775886536},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.3206999897956848},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2896000146865845},{"id":"https://openalex.org/C134064494","wikidata":"https://www.wikidata.org/wiki/Q6664682","display_name":"Locally finite group","level":3,"score":0.28049999475479126},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.25440001487731934},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.25220000743865967}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.06516","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.06516","pdf_url":"https://arxiv.org/pdf/2609.06516","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.06516","doi":"https://doi.org/10.48550/arxiv.2609.06516","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.06516","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.06516","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.06516","pdf_url":"https://arxiv.org/pdf/2609.06516","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320327182","display_name":"Indian Institute of Science Education and Research Mohali","ror":"https://ror.org/01vztzd79"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7212000573.pdf","grobid_xml":"https://content.openalex.org/works/W7212000573.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W2409779813"],"related_works":["https://openalex.org/W4409299679","https://openalex.org/W2345390662","https://openalex.org/W2409779813","https://openalex.org/W2790620088","https://openalex.org/W4302549252","https://openalex.org/W2808534169","https://openalex.org/W2924341248","https://openalex.org/W2898076420","https://openalex.org/W2798565453","https://openalex.org/W2254456691"],"abstract_inverted_index":{"In":[0,26],"[Finite":[1],"groups":[2,21,40],"with":[3],"a":[4,31],"small":[5],"number":[6],"of":[7,37],"cyclic":[8,24,44],"subgroups.":[9,25,45],"Czechoslovak":[10],"Mathematical":[11],"Journal":[12],"75.3":[13],"(2025):":[14],"839-851],":[15],"the":[16,20,35],"authors":[17],"classified":[18],"all":[19,38],"having":[22,41],"13":[23,43],"this":[27],"paper,":[28],"we":[29],"give":[30],"new":[32],"proof":[33],"for":[34],"classification":[36],"finite":[39],"exactly":[42]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-10T00:00:00"}