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The blocks with five irreducible characters
- Publication Year :
- 2023
-
Abstract
- Let $G$ be a finite group, $p$ a prime and $B$ a Brauer $p$-block of $G$ with defect group $D$. We prove that if the number of irreducible ordinary characters in $B$ is $5$ then $D\cong C_5, C_7, D_8$ or $Q_8$, assuming that the Alperin--McKay conjecture holds for $B$.
- Subjects :
- Mathematics - Group Theory
Mathematics - Representation Theory
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2306.04267
- Document Type :
- Working Paper