The Group Ring of SL2(p) over p-adic Integers for p Odd

Let p > 2 be a prime, R = _p[ζ_p^f − 1], K = _p[ζ_p^f − 1], and G = SL₂(p^f). The group ring RG is calculated nearly up to Morita equivalence: The projections of RG into the simple components of KG are given explicitly and the endomorphism rings and homomorphism bimodules between the projective indecomposable RG-lattices are described.