Specht modules in the Auslander-Reiten quiver

Let A be a symmetric algebra over an algebraically closed field. We study the position of indecomposable A-modules with small socles or heads in Auslander-Reiten components of tree class A∞. We apply the results to Specht modules when A is a block of a group algebra of a symmetric group. In particular, we show that if the block has weight 2 then all Specht modules are quasi-simple, that is, they lie 'at the ends' of their components.