Finite line-transitive linear spaces: parameters and normal point-partitions

  title={Finite line-transitive linear spaces: parameters and normal point-partitions},
  author={Anne Delandtsheer and Alice C. Niemeyer and Cheryl E. Praeger},
  journal={Advances in Geometry},
Until the 1990's the only known finite linear spaces admitting line-transitive, point- imprimitive groups of automorphisms were Desarguesian projective planes and two linear spaces with 91 points and line size 6. In 1992 a new family of 467 such spaces was constructed, all having 729 points and line size 8. These were shown to be the only linear spaces attaining an upper bound of Delandtsheer and Doyen on the number of points. Projective planes, and the linear spaces just mentioned on 91 or 729… 

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