{"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":50958,"journal":{"name":"Algebra Colloquium","volume":null,"pages":null},"PeriodicalIF":0.4000,"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\":50958,\"journal\":{\"name\":\"Algebra Colloquium\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2023-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Algebra Colloquium\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1142/s1005386723000299\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Algebra Colloquium","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1142/s1005386723000299","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","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.
期刊介绍：
Algebra Colloquium is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. Papers from related areas which have applications to algebra are also considered for publication. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.
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