**Speaker:** Richard Dipper (Stuttgart)

**Title:** *Irreducible Constituents of Minimal Degree in Super Characters of the Finite Unitriangular Groups*

**Abstract:**
Let \(U\) be the group of lower unitriangular \(n \times n\)-matrices over
the field with \(q\)
elements. To determine the conjugacy classes of \(U\) for all \(n\) and \(q\)
is known
to be a wild problem, even to count them is still unsolved in general. The
super character theory introduced by Andre and refined by Yan gives an
approximation to classifying the irreducible complex characters of \(U\). For
each super character there exists a combinatorially determined lower bound
(a power of \(q\)) for the degrees of the irreducible \(U\)-characters occurring
as constituent. We classify the super characters containing irreducible
constituents of minimal degree and determine those.