Computational Algebra Seminar: Holt -- Computing Projective Indecomposable Modules

Speaker: Derek Holt (University of Warwick)
Title: Computing Projective Indecomposable Modules of Finite Groups Over Finite Fields
Time & Place: 3-4pm, Thursday 12 November, Carslaw 173

Abstract:
Projective Indecomposable modules for finite groups have a number of
applications, such as computing higher dimensional cohomology groups
by dimension shifting.

We consider possible methods for computing them. The most promising
approach seems to be to find so-called peakwords for the irreducible
modules in the group algebra of the group, and to use them to construct
the projective indecomposables as summands of suitable permutation
modules.