Abstract
We consider the central Schur ring associated with the standard supercharacters of the adjoint group of a finite radical ring
, and define supercharacters of the subgroup
consisting of elements fixed by an involution of
naturally defined by an (anti-)involution of
. In particular, we extend known results for unipotent subgroups of the classical finite Chevalley groups.
Notes
1 Since there is no danger of ambiguity, we abbreviate the terminology, and refer to a standard superclass simply as a superclass of G.
2 As for superclasses, by a supercharacter of G we understand a standard supercharacter.