{"title":"其点稳定子为具有循环弗罗贝尼斯核的弗罗贝尼斯群的尖顶置换群","authors":"Blake Norman","doi":"10.1080/00927872.2024.2377806","DOIUrl":null,"url":null,"abstract":"Let (G,X) be a transitive non-geometric sharp permutation group of type {0,k} and let x∈X. We prove that if the point stabilizer Gx is a Frobenius group with cyclic Frobenius kernel, then Gx≅AGL(1,...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"58 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Sharp permutation groups whose point stabilizers are Frobenius groups with cyclic Frobenius kernel\",\"authors\":\"Blake Norman\",\"doi\":\"10.1080/00927872.2024.2377806\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let (G,X) be a transitive non-geometric sharp permutation group of type {0,k} and let x∈X. We prove that if the point stabilizer Gx is a Frobenius group with cyclic Frobenius kernel, then Gx≅AGL(1,...\",\"PeriodicalId\":50663,\"journal\":{\"name\":\"Communications in Algebra\",\"volume\":\"58 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-08-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Algebra\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/00927872.2024.2377806\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Algebra","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/00927872.2024.2377806","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Sharp permutation groups whose point stabilizers are Frobenius groups with cyclic Frobenius kernel
Let (G,X) be a transitive non-geometric sharp permutation group of type {0,k} and let x∈X. We prove that if the point stabilizer Gx is a Frobenius group with cyclic Frobenius kernel, then Gx≅AGL(1,...
期刊介绍：
Communications in Algebra presents high quality papers of original research in the field of algebra. Articles from related research areas that have a significant bearing on algebra might also be published.
Topics Covered Include:
-Commutative Algebra
-Ring Theory
-Module Theory
-Non-associative Algebra including Lie algebras, Jordan algebras
-Group Theory
-Algebraic geometry
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