-blocks of solvable groups.

Horváth, E.

Displaying similar documents to “ $M$ -blocks of solvable groups.”

Some remarks on Dade's conjecture.

Hassan, Nabila Mohamed, Horváth, Erzsébet (1998)

Mathematica Pannonica

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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.

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:...

Groups where each element is conjugate to its certain power

Pál Hegedűs (2013)

Open Mathematics

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This paper deals with a rationality condition for groups. Let n be a fixed positive integer. Suppose every element g of the finite solvable group is conjugate to its nth power g n. Let p be a prime divisor of the order of the group. We conclude that the multiplicative order of n modulo p is small, or p is small.