M. Akbari, X. Y. Chen, A. R. Moghaddamfar, “An OD-characterizable class of simple groups”, Algebra Discrete Math., 2020, Volume 29, Issue 1,Pages <nobr>42

RESEARCH ARTICLE

An OD-characterizable class of simple groups

M. Akbari^a, X. Y. Chen^b, A. R. Moghaddamfar^c

^a Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran
^b College of Sciences, Henan University of Technology, 450001, Zhengzhou, China
^c Faculty of Mathematics, K. N. Toosi University of Technology, P.O.~Box 16765-3381, Tehran, Iran

Abstract: It is proved that nonabelian finite simple groups $S$ with $\max \pi(S)=37$ are uniquely determined by their order and degree pattern in the class of all finite groups.

Keywords: OD-characterization of a finite group, prime graph, degree pattern, simple group.

MSC: 20D05, 20D06, 20D08

Received: 22.01.2018

Language: English

DOI: 10.12958/adm611