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

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

2005-09-21

arxiv.org/abs/math/0509476v1

Mathematics

Group Theory

11 pages

Scientific paper

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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