Twisted projective spaces and linear completions of some partial Steiner triple systems.
Grassmann spaces over hyperbolic and quasi hyperbolic spaces.
Some generalization of Desargues and Veronese configurations
2000 Mathematics Subject Classification: 51E14, 51E30. We propose a method of constructing partial Steiner triple system, which generalizes the representation of the Desargues configuration as a suitable completion of three Veblen configurations. Some classification of the resulting configurations is given and the automorphism groups of configurations of several types are determined.
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