Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 50, No. 1, pp. 19 (2009) 

A characterization of $L_2(2^f)$ in terms of the number of character zerosGuohua Qian and Wujie ShiDepartement of Mathematics, Changshu Institute of Technology, Changshu, Jiangsu, 215500, P. R. China, email: ghqian2000@yahoo.com.cn; School of Mathematics, Suzhou University, Suzhou, Jiangsu, 215006, P. R. China, email: wjshi@suda.edu.cnAbstract: The aim of this paper is to show that $L_2(2^f)$ are the only nonsolvable groups in which every irreducible character of even degree vanishes on just one conjugacy class. Keywords: finite group, character Classification (MSC2000): 20C15 Full text of the article:
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