Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 50, No. 1, pp. 1-9 (2009)

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A characterization of $L_2(2^f)$ in terms of the number of character zeros

Guohua Qian and Wujie Shi

Departement of Mathematics, Changshu Institute of Technology, Changshu, Jiangsu, 215500, P. R. China, e-mail: ghqian2000@yahoo.com.cn; School of Mathematics, Suzhou University, Suzhou, Jiangsu, 215006, P. R. China, e-mail: wjshi@suda.edu.cn

Abstract: 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:

Electronic version published on: 29 Dec 2008. This page was last modified: 28 Jan 2013.

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