{"title":"On a theorem of Knörr","authors":"Burkhard Külshammer","doi":"10.1007/s00013-023-01961-z","DOIUrl":null,"url":null,"abstract":"<div><p>Knörr has constructed an ideal, in the center of the <i>p</i>-modular group algebra of a finite group <i>G</i>, whose dimension is the number of <i>p</i>-blocks of defect zero in <i>G</i>/<i>Q</i>; here <i>p</i> is a prime and <i>Q</i> is a normal <i>p</i>-subgroup of <i>G</i>. We generalize his construction to symmetric algebras.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2024-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00013-023-01961-z.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archiv der Mathematik","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s00013-023-01961-z","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
Knörr has constructed an ideal, in the center of the p-modular group algebra of a finite group G, whose dimension is the number of p-blocks of defect zero in G/Q; here p is a prime and Q is a normal p-subgroup of G. We generalize his construction to symmetric algebras.
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.
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