{"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":8346,"journal":{"name":"Archiv der Mathematik","volume":"122 4","pages":""},"PeriodicalIF":0.5000,"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\":8346,\"journal\":{\"name\":\"Archiv der Mathematik\",\"volume\":\"122 4\",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2024-03-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archiv der Mathematik\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00013-024-01968-0\",\"RegionNum\":4,\"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":"Archiv der Mathematik","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s00013-024-01968-0","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","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.
期刊介绍:
Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.