{"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}
引用次数: 0
Abstract
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.