Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 50, No. 1, pp. 1-9 (2009)
A characterization of $L_2(2^f)$ in terms of the number of character zeros
Guohua Qian and Wujie ShiDepartement of Mathematics, Changshu Institute of Technology, Changshu, Jiangsu, 215500, P. R. China, e-mail: firstname.lastname@example.org; School of Mathematics, Suzhou University, Suzhou, Jiangsu, 215006, P. R. China, e-mail: email@example.com
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.