105 citations · 532 across the 58 of their papers we have counts for
7 papers · 2 filters
Exotic characters of unitriangular matrix groups
Eric Marberg
Let $\UT_n(q)$ denote the unitriangular group of unipotent upper triangular matrices over a finite field with cardinality and prime characteristic . It has been…
Combinatorial methods of character enumeration for the unitriangular group
Eric Marberg
Let $\UT_n(q)$ denote the group of unipotent upper triangular matrices over a field with elements. The degrees of the complex irreducible characters of $\UT_n(q)$ a…
Iterative character constructions for algebra groups
Eric Marberg
We construct a family of orthogonal characters of an algebra group which decompose the supercharacters defined by Diaconis and Isaacs. Like supercharacters, these characters are gi…
Generalized Involution Models for Wreath Products
Eric Marberg
We prove that if a finite group has a generalized involution model, as defined by Bump and Ginzburg, then the wreath product also has a generalized involution model…
Automorphisms and Generalized Involution Models of Finite Complex Reflection Groups
Eric Marberg
We prove that a finite complex reflection group has a generalized involution model, as defined by Bump and Ginzburg, if and only if each of its irreducible factors is either $G(r,p…
Superclasses and supercharacters of normal pattern subgroups of the unipotent upper triangular matrix group
Eric Marberg
Let denote the group of unipotent upper-triangular matrices over a fixed finite field $\FF_q$, and let $U_\cP$ denote the pattern subgroup of corresponding…