Author: David J. Hemmer

Title: The complexity of certain Specht modules for the symmetric group.

Abstract: We verify one direction of a conjecture made by the Georgia VIGRE
algebra group. The result is that a Specht module corresponding to a
partition made up of pxp blocks cannot have maximal possible complexity. The
VIGRE conjecture is that this condition is necessary and sufficient for the
complexity to be less than maximal. It turns out these partitions arise
naturally from a question about branching and p-weights of partitions.

Status: Submitted.