Search results for "Prime element"

showing 3 items of 3 documents

Degrees of Characters and Values on Prime Order Elements

2008

Two irreducible characters of a finite group with the same value on prime elements have the same degree.

AlgebraFinite groupPure mathematicsAlgebra and Number TheoryMathematics::Number TheoryPrime elementDegree (angle)Mathematics::Representation TheoryValue (mathematics)Character groupMathematicsCommunications in Algebra
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Prime divisors of character degrees

2008

CombinatoricsAlgebra and Number TheoryCharacter (mathematics)Prime signaturePrime elementArithmeticPrime (order theory)MathematicsJournal of Group Theory
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Finite groups with real-valued irreducible characters of prime degree

2008

Abstract In this paper we describe the structure of finite groups whose real-valued nonlinear irreducible characters have all prime degree. The more general situation in which the real-valued irreducible characters of a finite group have all squarefree degree is also considered.

Finite groupReal charactersBrauer's theorem on induced charactersAlgebra and Number TheoryDegree (graph theory)Mathematics::Number TheoryStructure (category theory)Prime elementSquare-free integerCharacter degreesCombinatoricsCharacter tableMathematics::Representation TheoryCharacter groupMathematicsJournal of Algebra
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