Displaying similar documents to “A note on finite groups with few values in a column of the character table”

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.

Huppert’s conjecture for F i 23

S. H. Alavi, A. Daneshkah, H. P. Tong-Viet, T. P. Wakefield (2011)

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 ∈ 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 a unique nonlinear nonfaithful irreducible character

Ali Iranmanesh, Amin Saeidi (2011)

Archivum Mathematicum

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In this paper, we consider finite groups with precisely one nonlinear nonfaithful irreducible character. We show that the groups of order 16 with nilpotency class 3 are the only p -groups with this property. Moreover we completely characterize the nilpotent groups with this property. Also we show that if G is a group with a nontrivial center which possesses precisely one nonlinear nonfaithful irreducible character then G is solvable.