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 groups with real-valued irreducible characters of prime degree / S. Dolfi, E. Pacifici, L. Sanus. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - 320:5(2008), pp. 2181-2195.
Finite groups with real-valued irreducible characters of prime degree
E. PacificiSecondo
;
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.
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