{"title":"A classification of 2-designs with prime replication numbers and flag-transitive automorphism groups","authors":"S. H. Alavi, Jalal Choulaki, A. Daneshkhah","doi":"10.18514/mmn.2023.3873","DOIUrl":null,"url":null,"abstract":". In this article, we present a classification of 2-designs with prime replication numbers admitting flag-transitive automorphism groups. In conclusion, if G is a flag-transitive automorphism group of a 2-design D with prime replication number, then G (cid:54) A Γ L 1 ( q ) , or D belongs to five infinite families of 2-designs or it is (isomorphic to) one of eight sporadic examples.","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Miskolc Mathematical Notes","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.18514/mmn.2023.3873","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 1
Abstract
. In this article, we present a classification of 2-designs with prime replication numbers admitting flag-transitive automorphism groups. In conclusion, if G is a flag-transitive automorphism group of a 2-design D with prime replication number, then G (cid:54) A Γ L 1 ( q ) , or D belongs to five infinite families of 2-designs or it is (isomorphic to) one of eight sporadic examples.
期刊介绍：
Miskolc Mathematical Notes, HU ISSN 1787-2405 (printed version), HU ISSN 1787-2413 (electronic version), is a peer-reviewed international mathematical journal aiming at the dissemination of results in many fields of pure and applied mathematics.
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