[en] A brief description of the procedure and highlights of the calculations performed on a broad range of p-shell nuclei including Λ⁹Be, Λ¹²C, Λ¹³C, Λ¹⁴N and Λ¹⁶O for which data exist and Λ¹⁰B, Λ¹⁴C, Λ¹⁵N for which data do not exist are given. The mechanism for the (K^-, π^-) reaction which generates the rich excitation spectra seen experimentally is briefly considered. The use of a relativistic DWBA formalism includes naturally the distortion in K^-, π^- wave functions and permits quantitatively reliable estiamtes of reaction cross-sections to be made. An essentially complete treatment of second-half p-shell nuclei with fixed ΛN and NN potentials is possible because of the small size variations of these nuclei. In principle at least a three body ΛNN force should be present, inducing an apparent nucleon-number dependence in an effective two body interaction. The emphasis is on extraction, from the hypernuclear spectrum and excitation probabilities, of details of the ΛN interaction not otherwise obtainable experimentally