A new characterization of Suzuki's simple groups

作者:Zhang, Jinshan*; Shao, Changguo; Shen, Zhencai
来源:Journal of Algebra and Its Applications, 2017, 16(11): 1750216.
DOI:10.1142/S0219498817502164

摘要

Let G be a finite group. A vanishing element of G is an element g is an element of G such that chi(g) = 0 for some irreducible complex character chi of G. Denote by Vo(G) the set of the orders of vanishing elements of G. In this paper, we prove that if G is a finite group such that Vo(G) = Vo(Sz(2(2m+1))), m >= 1, then G congruent to Sz(2(2m+1)).