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

Guohua Qian; Wujie Shi

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

Group Theory 2007-05-23 v1

Authors: Guohua Qian , Wujie Shi

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.

Keywords

finite nonsolvable groups irreducible characters even degree character zeros conjugacy classes L_2(2^f)

Cite

@article{arxiv.math/0509476,
  title  = {A Characterization of $L_2(2^f)$ in Terms of Character Zeros},
  author = {Guohua Qian and Wujie Shi},
  journal= {arXiv preprint arXiv:math/0509476},
  year   = {2007}
}

Comments

11 pages

Related papers

View all related →