Irreducible characters of Sylow p-subgroups of the Steinberg triality groups ${}^3{D}_4(p^{3m})$

Abstract

In this notes we construct and count all ordinary irreducible characters of Sylow $p$-subgroups of the Steinberg triality groups ${}^3{D}_4(p^{3m})$.

11 pages

Cited by in corpus (4)

• The generic character table of a Sylow $p$-subgroup of a finite Chevalley group of type $D_4$
• Supercharacter theories for Sylow $p$-subgroups of Lie type $G_2$
• Supercharacter theories for Sylow $p$-subgroups of the Ree groups
• On the coadjoint orbits of maximal unipotent subgroups of reductive groups