{"title":"积作用型旗子-传递自同构群的2-(v,k,λ)设计","authors":"Zhilin Zhang, Shenglin Zhou","doi":"10.1142/s1005386723000299","DOIUrl":null,"url":null,"abstract":"In this paper we present two new families of 2-[Formula: see text] designs with a flag-transitive and point-primitive automorphism group of product action type. More surprisingly, one of them is still a family of 2-[Formula: see text] designs with a flag-transitive and point-imprimitive automorphism group.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On 2-(v,k,λ) Designs with Flag-Transitive Automorphism Groups of Product Action Type\",\"authors\":\"Zhilin Zhang, Shenglin Zhou\",\"doi\":\"10.1142/s1005386723000299\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we present two new families of 2-[Formula: see text] designs with a flag-transitive and point-primitive automorphism group of product action type. More surprisingly, one of them is still a family of 2-[Formula: see text] designs with a flag-transitive and point-imprimitive automorphism group.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1142/s1005386723000299\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1142/s1005386723000299","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On 2-(v,k,λ) Designs with Flag-Transitive Automorphism Groups of Product Action Type
In this paper we present two new families of 2-[Formula: see text] designs with a flag-transitive and point-primitive automorphism group of product action type. More surprisingly, one of them is still a family of 2-[Formula: see text] designs with a flag-transitive and point-imprimitive automorphism group.