An Infinite Class of Partial Geometries Associated with the Hyperbolic Quadric in PG(4n - 1, 2)

@article{Clerck1980AnIC,
  title={An Infinite Class of Partial Geometries Associated with the Hyperbolic Quadric in PG(4n - 1, 2)},
  author={Frank De Clerck and R. H. Dye and Joseph A. Thas},
  journal={Eur. J. Comb.},
  year={1980},
  volume={1},
  pages={323-326}
}
A (finite) partial geometry S = (P, B, I) is an incidence structure with a symmetric incidence relation satisfying the following axioms. (i) Each point is incident with t + 1lines (t;;?; 1) and two distinct points are incident with at most one line. (ii) Each line is incident with s + 1 points (s;;?; 1) and two distinct lines are incident with at most one point. (iii) If xis a point and La line, such that xIL, then there are exactly a(a;;?; 1) points Xt. x 2 , ••• ,Xa and a lines Lt.L2… CONTINUE READING

From This Paper

Topics from this paper.
8 Citations
12 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 12 references

Dye , Partitions and their stabilizers for line complexes and quadrics

  • H. R.
  • Ann . Mat . Pura Appl .
  • 1977

Partitions and their stabilizers for line complexes and quadrics

  • R. H. Dye
  • Ann. Mat. Pura Appl
  • 1977
3 Excerpts

Combinatorics of partial geometries and generalized quadrangles

  • J. A. Thas
  • Higher Combinatorics, Nato Advanced Study…
  • 1976
2 Excerpts

Construction of maximal arcs and partial geometries

  • J. A. Thas
  • Geom. Dedicata
  • 1974
1 Excerpt

Construction of partial geometries

  • J. A. Thas
  • Simon Stevin
  • 1973
1 Excerpt

The construction of translation planes from projective spaces

  • R. H. Bruck, R. C. Bose
  • J. Algebra
  • 1964
1 Excerpt

Finite nets II: uniqueness and embedding

  • R. H. Bruck
  • Pacific J. Math
  • 1963
1 Excerpt

Strongly regular graphs , partial geometries and partially balanced designs

  • R. C. Bose
  • Pacific J . Math .
  • 1963

Similar Papers

Loading similar papers…