{"title":"关于具有 TI Sylow p 子群的有限群块的说明","authors":"Deniz Yılmaz","doi":"10.1007/s00013-024-01968-0","DOIUrl":null,"url":null,"abstract":"<div><p>Let <span>\\(\\mathbb {F}\\)</span> be an algebraically closed field of characteristic zero. We prove that functorial equivalence over <span>\\(\\mathbb {F}\\)</span> and perfect isometry between blocks of finite groups do not imply each other.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A note on blocks of finite groups with TI Sylow p-subgroups\",\"authors\":\"Deniz Yılmaz\",\"doi\":\"10.1007/s00013-024-01968-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Let <span>\\\\(\\\\mathbb {F}\\\\)</span> be an algebraically closed field of characteristic zero. We prove that functorial equivalence over <span>\\\\(\\\\mathbb {F}\\\\)</span> and perfect isometry between blocks of finite groups do not imply each other.</p></div>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-03-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00013-024-01968-0\",\"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://link.springer.com/article/10.1007/s00013-024-01968-0","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A note on blocks of finite groups with TI Sylow p-subgroups
Let \(\mathbb {F}\) be an algebraically closed field of characteristic zero. We prove that functorial equivalence over \(\mathbb {F}\) and perfect isometry between blocks of finite groups do not imply each other.
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