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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/94767The 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.11 pagesGroup Theory20C15A Characterization of $L_2(2^f)$ in Terms of Character Zerostext