Some remarks on 10 3 -configurations which contain the complete graph K 4 are given, on their representations, and on projective realizability. Results are applied to show a class of configurations that cannot be realized in any Pappian projective space.
We present a method of constructing configurations consisting in multiplying self-dual partial linear spaces involving their (fixed) correlations. Elementary (axiomatic) properties preserved under this construction are examined, and automorphism groups of the resulting configurations are determined.
Mathematics Subject Classification (2000). Primary 51D20, Secondary 51E26.
Abstract. The structure of lines in a projective or a polar Grassmann space together with binary coplanarity is a sufficient system of primitive notions for these geometries.Mathematics Subject Classification. 51A45, 51A50.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.