{"title":"具有素数复制和标志传递自同构群的2-设计的分类","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":"{\"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}","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
摘要
． 在这篇文章中，我们给出了一个允许标志传递自同构群的具有素数复制数的2-设计的分类。综上所述，如果G是具有素数复制的2-设计D的标志传递自同构群，则G (cid:54) a Γ L 1 (q)，或者D属于5个无限的2-设计族，或者它是8个偶发例子中的一个(同构)。
A classification of 2-designs with prime replication numbers and flag-transitive automorphism groups
. 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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