Brauer characters of q^′- degree

2016/01/20 by Mark L. Lewis, Lewis, Mark L., Hung P. Tong‐Viet +1
Mathematics · #20B15 (Secondary) #20C15 #20C20 (Primary) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1601.05373

openalex publication_date 2016/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that if p is a prime and G is a finite p-solvable group satisfying the condition that a prime q divides the degree of no irreducible p-Brauer character of G, then the normalizer of some Sylow q-subgroup of G meets all the conjugacy classes of p-regular elements of G.

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