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A Characterization of $L_2(2^f)$ in Terms of Character Zeros

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 Added by Wujie Shi
 Publication date 2005
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and research's language is English




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The aim of this paper is to classify the finite nonsolvable groups in which every irreducible character of even degree vanishes on at most two conjugacy classes. As a corollary, it is shown that $L_2(2^f)$ are the only nonsolvable groups in which every irreducible character of even degree vanishes on just one conjugacy class.



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