A supercharacter theory for Sylow $p$-subgroups of the Steinberg triality groups

Abstract

We determine a supercharacter theory for the matrix Sylow $p$-subgroup ${}^3{D}_4^{syl}(q^3)$ of the Steinberg triality group ${}^3{D}_4(q^3)$, and establish the supercharacter table of ${}^3{D}_4^{syl}(q^3)$.

27 pages, 3 tables

References in corpus (2)

• Supercharacter theories constructed by the method of little groups
• Character tables of Sylow $p$-subgroups of the Steinberg triality groups ${}^3{D}_4(q^3)$