Abstract
In this paper we examine the behavior of lifts of Brauer characters in p-solvable groups. In the main result, we show that if φ ∈ IBr ( G ) has a normal vertex Q and either p is odd or Q is abelian, then the number of lifts of φ is at most | Q : Q ′ | . As a corollary, we prove that if φ ∈ IBr ( G ) has an abelian vertex subgroup Q, then the number of lifts of φ in Irr ( G ) is at most | Q | .
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