A new characterization of some families of finite simple groups
M. Foroudi GhasemabadiTarbiat Modares University, Tehran, Iran
Ali IranmaneshTarbiat Modares University, Tehran, Iran
M. AhanjidehTarbiat Modares University, Tehran, Iran
Let be a finite group. A vanishing element of is an element such that for some irreducible complex character of . Denote by the set of the orders of vanishing elements of . In this paper, we prove that if is a finite group such that and , then , where is a sporadic simple group, an alternating group, a projective special linear group , where is an odd prime or a finite simple -group, where . These results confirm the conjecture posed in  for the simple groups under study.
Cite this article
M. Foroudi Ghasemabadi, Ali Iranmanesh, M. Ahanjideh, A new characterization of some families of finite simple groups. Rend. Sem. Mat. Univ. Padova 137 (2017), pp. 57–74DOI 10.4171/RSMUP/137-3