Cliques of irreducible representations of p-solvable groups and a theorem analogous to Alperin's conjecture.

Harald Ellers

Displaying similar documents to “Cliques of irreducible representations of p-solvable groups and a theorem analogous to Alperin's conjecture.”

Degrees of Modular Irreducible Representations of p-Solvable Groups.

E.C. Dade (1968)

Mathematische Zeitschrift

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Towards a classification of the irreducible representations in non-describing characteristic of a finite group of Lie type.

G. Malle, Meinholf Geck, Gerhard Hiss (1996)

Mathematische Zeitschrift

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Correction to my note "Degrees of Modular Irreducible Representations of p-Solvable Groups".

Everett C. Dade (1968)

Mathematische Zeitschrift

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On zeros of characters of finite groups

Jinshan Zhang, Zhencai Shen, Dandan Liu (2010)

Czechoslovak Mathematical Journal

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For a finite group $G$ and a non-linear irreducible complex character $χ$ of $G$ write $υ (χ) = {g \in G ∣ χ (g) = 0}$ . In this paper, we study the finite non-solvable groups $G$ such that $υ (χ)$ consists of at most two conjugacy classes for all but one of the non-linear irreducible characters $χ$ of $G$ . In particular, we characterize a class of finite solvable groups which are closely related to the above-mentioned question and are called solvable $ϕ$ -groups. As a corollary, we answer Research Problem $2$ in [Y. Berkovich and L. Kazarin:...

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.

Three remarks on absolutely solvable groups.

Pálfy, Péter P. (2009)

Beiträge zur Algebra und Geometrie

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Monomial Charcters and Normal Subgroups.

Everett C. Dade (1981)

Mathematische Zeitschrift

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On Normal Subgroups of p-Solvable Groups.

Morton Harris (1972)

Mathematische Zeitschrift

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Classification of solvable groups possessing a unique nonlinear non-faithful irreducible character

Amin Saeidi (2014)

Open Mathematics

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In this note, we study finite groups possessing exactly one nonlinear non-faithful irreducible character. Our main result is to classify solvable groups that satisfy this property. Also, we give examples to show that these groups need not to be solvable in general.