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

Guohua Qian·Wujie Shi
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Abstract

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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Guohua Qian, Wujie Shi. 2005-09-21. A Characterization of $L_2(2^f)$ in Terms of Character Zeros. https://arxiv.org/abs/math/0509476

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