12-04

On the dimensions of PIM's

C. Martinez-Perez, W. Willems

 

Preprint series: 12-04, Preprints

MSC:
20C20 Modular representations and characters
20C05 Group rings of finite groups and their modules
20C30 Representations of finite symmetric groups
20C33 Representations of finite groups of Lie type

 

Abstract:We discuss the structure of finite groups for which the projective indecomposable modules have special given dimensions. In particular, we prove the converse of Fong's dimension formula for p-solvable groups. Furthermore, we characterize groups for which all irreducible p-Brauer characters have p-power degrees.

Keywords:character degrees, indecomposable modules, p-solvable groups

Upload:2012-02-28-02-28

Letzte Änderung: 01.03.2018 - Ansprechpartner: Webmaster