Displaying similar documents to “Finite groups with eight non-linear irreducible characters”

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:...

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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