Search results for "Brauer characters"

showing 2 items of 2 documents

The number of lifts of a Brauer character with a normal vertex

2011

AbstractIn 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|.

CombinatoricsVertex (graph theory)LiftsAlgebra and Number TheoryBrauer's theorem on induced charactersCorollarySolvable groupAbelian groupFinite groupsSolvable groupsBrauer charactersMathematicsJournal of Algebra
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Field of values and Brauer characters of q′-degree

2007

Abstract We study the existence of non-trivial real-valued (respectively rational-valued) irreducible p -Brauer characters of degree not divisible by q .

Pure mathematicsAlgebra and Number TheoryBrauer's theorem on induced charactersDegree (graph theory)Field (mathematics)Real-valued and rational-valued Brauer charactersMathematics::Representation TheoryMathematicsJournal of Algebra
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