Let $\mathcal {A}(q) $ be a finite-dimensional nilpotent algebra over a finite field $\mathbb
{F} _ {q} $ with $ q $ elements, and let $ G (q)= 1+\mathcal {A}(q) $. On the other hand, let …

The supercharacter theory of a finite group was introduced by Diaconis and Isaacs as an
alternative to the usual irreducible character theory, and illustrated with a construction in the …

Using the correspondence between central Schur rings and supercharacter theories for
finite groups, we simplify the construction of the standard supercharacter theory for adjoint …

The goal of this thesis is the extension of a construction of a supercharacter theory (first
established for finite groups) to the context of infinite countable discrete groups, namely, for …