The blocks with four irreducible characters

2021/09/22 by J. Miquel Martínez, Martínez, J. Miquel, Noelia Rizo +3
Computer Science · Engineering · Mathematics · #20C15 #20C20 #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2109.10654

openalex publication_date 2021/09/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Suppose that B is a Brauer p-block with defect group D. If B exactly contains 4 irreducible characters, then we show that D has order 4 or 5, assuming the Alperin--McKay conjecture.

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