Covers of Point-Hyperplane Graphs

  • Authors:

  • Arjeh M. Cohen;E. J. Postma

  • Affiliations:

  • Department of Mathematics and Computer Science, Technische Universiteit Eindhoven, Eindhoven, The Netherlands;Department of Mathematics and Computer Science, Technische Universiteit Eindhoven, Eindhoven, The Netherlands

  • Venue:
  • Journal of Algebraic Combinatorics: An International Journal
  • Year:
  • 2005

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Abstract

A cover of the non-incident point-hyperplane graph of projective dimension 3 for fields of characteristic 2 is constructed. For fields $${\mathbb F}$$ of even order larger than 2, this leads to an elementary construction of the non-split extension of SL4($${\mathbb F}$$)by $${\mathbb F}$$6.