Twisted projective spaces and linear completions of some partial Steiner triple systems
Two important problems of finite incidence structures may (roughly) be formulated as follows: (1) find and classify the linear completions of some partial Steiner triple systems; (2) construct linear spaces (Steiner triple systems) which are not projective spaces, but `strongly resemble' Fano projective spaces (in particular, contain many projective planes). In this paper the author characterizes a class of Steiner triple systems, all of whose members can be obtained as a linear completion of some \((15_4 20_3)\) multi-Veblen configuration. The geometry of these completions is also investigated in detail.
scientific article; zbMATH DE number 5345493