Groups where each element is conjugate to its certain power

Pál Hegedűs

Displaying similar documents to “Groups where each element is conjugate to its certain power”

Translation planes of odd order and odd dimension.

Ostrom, T.G. (1979)

International Journal of Mathematics and Mathematical Sciences

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On the Fitting length of $H_{n} (G)$

Gülin Ercan, İsmail Ş. Güloğlu (1993)

Rendiconti del Seminario Matematico della Università di Padova

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Quasifields with irreducible nuclei.

Kallaher, Michael J. (1984)

International Journal of Mathematics and Mathematical Sciences

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Maximal subgroups of finite groups.

Srinivasan, S. (1990)

International Journal of Mathematics and Mathematical Sciences

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Collineation groups of translation planes of small dimension.

Ostrom, T.G. (1981)

International Journal of Mathematics and Mathematical Sciences

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Conjugacy class lengths of metanilpotent groups

Carlo Casolo, Silvio Dolfi (1996)

Rendiconti del Seminario Matematico della Università di Padova

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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:...

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.

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.