6533b7dbfe1ef96bd126f844

RESEARCH PRODUCT

Finite groups with real-valued irreducible characters of prime degree

Lucia SanusSilvio DolfiEmanuele Pacifici

subject

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 groupMathematics

description

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.

yearjournalcountryeditionlanguage
2008-09-01Journal of Algebra
10.1016/j.jalgebra.2008.06.002http://dx.doi.org/10.1016/j.jalgebra.2008.06.002