{"title":"给定地层维数的关联方案:论Peter M. Neumann的一篇论文","authors":"Marina Anagnostopoulou-Merkouri, Peter J. Cameron","doi":"10.5802/alco.307","DOIUrl":null,"url":null,"abstract":"In January 1969, Peter M. Neumann wrote a paper entitled “Primitive permutation groups of degree 3p”. The main theorem placed restrictions on the parameters of a primitive but not 2-transitive permutation group of degree three times a prime. The paper was never published, and the results have been superseded by stronger theorems depending on the classification of the finite simple groups, for example a classification of primitive groups of odd degree.","PeriodicalId":36046,"journal":{"name":"Algebraic Combinatorics","volume":"48 37","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Association schemes with given stratum dimensions: on a paper of Peter M. Neumann\",\"authors\":\"Marina Anagnostopoulou-Merkouri, Peter J. Cameron\",\"doi\":\"10.5802/alco.307\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In January 1969, Peter M. Neumann wrote a paper entitled “Primitive permutation groups of degree 3p”. The main theorem placed restrictions on the parameters of a primitive but not 2-transitive permutation group of degree three times a prime. The paper was never published, and the results have been superseded by stronger theorems depending on the classification of the finite simple groups, for example a classification of primitive groups of odd degree.\",\"PeriodicalId\":36046,\"journal\":{\"name\":\"Algebraic Combinatorics\",\"volume\":\"48 37\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-11-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Algebraic Combinatorics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5802/alco.307\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Algebraic Combinatorics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5802/alco.307","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
摘要
1969年1月,彼得·m·诺伊曼(Peter M. Neumann)写了一篇题为《3p度的原始置换群》的论文。主要定理对三次素数的原始而非2-传递置换群的参数进行了限制。这篇论文从未发表过,其结果已经被更强的定理所取代,这些定理依赖于有限单群的分类,例如奇数次原始群的分类。
Association schemes with given stratum dimensions: on a paper of Peter M. Neumann
In January 1969, Peter M. Neumann wrote a paper entitled “Primitive permutation groups of degree 3p”. The main theorem placed restrictions on the parameters of a primitive but not 2-transitive permutation group of degree three times a prime. The paper was never published, and the results have been superseded by stronger theorems depending on the classification of the finite simple groups, for example a classification of primitive groups of odd degree.