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Designs, Codes and Cryptography

, Volume 54, Issue 3, pp 241–251 | Cite as

Twisted Fano spaces and their classification, linear completions of systems of triangle perspectives

  • Krzysztof Petelczyc
  • Małgorzata Prażmowska
Article

Abstract

Twisted Fano spaces i.e. linear spaces with the parameters of PG(3, 2) which contain a pencil of Fano subplanes are completely classified and characterized. In particular, it is proved that twisted Fano spaces are exactly all the linear completions of systems of triangle perspectives with point degree 4.

Keywords

Veblen configuration Multi-Veblen configuration System of triangle perspectives Twisted Fano space Fano projective plane Partial Steiner triple system 

Mathematics Subject Classification (2000)

05B30 51E30 

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Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Institute of MathematicsUniversity of BiałystokBiałystokPoland

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