Finite p-soluble groups with irreducible modular representations of given degrees

On Finite Groups With Two Irreducible Character Degrees

Irreducible Modular Representations of Finite and Algebraic Groups

In these notes we outline some aspects of the modular representation theories of finite groups of Lie type in defining and cross-characteristics, with particular interest paid to how these theories relate to the modular representation theory of algebraic groups and the (characteristic 0) representation theory of Lie algebras and quantum groups. We begin by summarizing some classical results on ...

Finite p-groups with few non-linear irreducible character kernels

Abstract. In this paper, we classify all of the finite p-groups with at most three non linear irreducible character kernels.

Genotypes of irreducible representations of finite p-groups

For any characteristic zero coefficient field, an irreducible representation of a finite p-group can be assigned a Roquette p-group, called the genotype. This has already been done by Bouc and Kronstein in the special cases Q and C. A genetic invariant of an irrep is invariant under group isomorphism, change of coefficient field, Galois conjugation, and under suitable inductions from subquotien...

on finite groups with two irreducible character degrees