Syzygy Modules for Dihedral Groups

Let p be an odd prime and Λ=Z[D2p] the integral group ring of the dihedral group D2p of order 2p. The syzygies Ωr(Z) are the stable classes of the intermediate modules in a free Λ-resolution of the trivial module. We will discuss explicitly the interaction of the stable syzygies under − ⊗Z−.