Brauer characters of q^prime- degree
classification
🧮 math.GR
keywords
primebrauerdegreecharactercharactersclassesconditionconjugacy
read the original 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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