A new characterization of some families of finite simple groups
M. Foroudi Ghasemabadi
Tarbiat Modares University, Tehran, IranAli Iranmanesh
Tarbiat Modares University, Tehran, IranM. Ahanjideh
Tarbiat Modares University, Tehran, Iran
![A new characterization of some families of finite simple groups cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-rsmup-volume-137.png&w=3840&q=90)
Abstract
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 [17] 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. 57–74
DOI 10.4171/RSMUP/137-3