Torsion units for a Ree group, Tits group and a Steinberg triality group

Abstract

We investigate the Zassenhaus conjecture for the Steinberg triality group 3 D 4 (2 3 ), Tits group 2 F 4 (2) and the Ree group 2 F 4 (2). Consequently, we prove that the Prime Graph question is true for all three groups.