Author's Name: Dr John Murray

Institution:	National University of Ireland
		Maynooth, Co Kildare
		Ireland

Abstract of: Projective Modules and Involutions

Let G be a finite group and let k be an algebraically closed field
of characteristic 2. Set Omega={g in G | g^2=1}. Then Omega is a
G-set under conjugation. We show that each projective component of
the associated permutation module kOmega is irreducible, self-dual
and occurs with multiplicity 1. In particular, this implies that
there is a a bijection between the projective components of kOmega
and the real 2-blocks of G that have defect zero.

Status: preprint, March 11 2004.