Weakly Regular and Regular sets in Minkowski planes

A Regular (respectively Weakly Regular) set for an incidence structure Q is a set of points such that the identity is the only automorphism of Q which maps onto itself (respectively which fixes pointwise). In this work Weakly Regular and Regular sets in Minkowski planes are investigated.Work done within the activity of G.N.S.A.G.A. of C.N.R. and supported by 40 % grants of M.U.R.S.T.G.Rinaldi thanks Fondazione Francesco Severi and Banca Popolare dell'Etruria e del Lazio for the prize which allowed this research.