{"title":"Finite groups with exactly two nonlinear irreducible p-Brauer characters","authors":"Fuming Jiang , Yu Zeng","doi":"10.1016/j.jalgebra.2025.04.006","DOIUrl":null,"url":null,"abstract":"<div><div>Let <em>p</em> be a prime. We classify the finite groups having exactly two irreducible <em>p</em>-Brauer characters of degree larger than one. The case, where the finite groups have orders not divisible by <em>p</em>, was done by P. Pálfy in 1981.</div></div>","PeriodicalId":14888,"journal":{"name":"Journal of Algebra","volume":"677 ","pages":"Pages 294-326"},"PeriodicalIF":0.8000,"publicationDate":"2025-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Algebra","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021869325002194","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/4/15 0:00:00","PubModel":"Epub","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
Let p be a prime. We classify the finite groups having exactly two irreducible p-Brauer characters of degree larger than one. The case, where the finite groups have orders not divisible by p, was done by P. Pálfy in 1981.
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