Displaying similar documents to “Finite groups with a unique nonlinear nonfaithful irreducible character”

Finite groups with eight non-linear irreducible characters

Yakov Berkovich (1994)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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This Note contains the complete list of finite groups, having exactly eight non-linear irreducible characters. In section 4 we consider in full details some typical cases.

The local Jacquet-Langlands correspondence via Fourier analysis

Jared Weinstein (2010)

Journal de Théorie des Nombres de Bordeaux

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Let F be a locally compact non-Archimedean field, and let B / F be a division algebra of dimension 4. The Jacquet-Langlands correspondence provides a bijection between smooth irreducible representations π of B × of dimension > 1 and irreducible cuspidal representations of GL 2 ( F ) . We present a new construction of this bijection in which the preservation of epsilon factors is automatic. This is done by constructing a family of pairs ( , ρ ) , where M 2 ( F ) × B is an order and ρ is a finite-dimensional representation...

Sylow 2-subgroups of solvable Q-groups.

Mohammad Reza Darafsheh, H. Sharifi (2007)

Extracta Mathematicae

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A finite group whose irreducible characters are rational valued is called a rational or a Q-group. In this paper we obtain various results concerning the structure of a Sylow 2-subgroup of a solvable Q-group.