{"title":"Sharpness of saturated fusion systems on a Sylow $p$-subgroup of $\\mathrm{G}_2 (p)$","authors":"Valentina Grazian, Ettore Marmo","doi":"10.4310/hha.2023.v25.n2.a14","DOIUrl":null,"url":null,"abstract":"We prove that the Díaz–Park sharpness conjecture holds for saturated fusion systems defined on a Sylow $p$-subgroup of the group $\\mathrm{G}_2 (p)$, for $p \\geqslant 5$.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/hha.2023.v25.n2.a14","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We prove that the Díaz–Park sharpness conjecture holds for saturated fusion systems defined on a Sylow $p$-subgroup of the group $\mathrm{G}_2 (p)$, for $p \geqslant 5$.