Finite geometries and designs : proceedings of the second Isle of Thorns conference 1980

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Finite geometries and designs : proceedings of the second Isle of Thorns conference 1980

edited by P.J. Cameron, J.W.P. Hirschfeld, D.R. Hughes

（London Mathematical Society lecture note series, 49）

Cambridge University Press, 1981

  • : pbk.

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Description and Table of Contents

Description

Originally published in 1981, this collection of 33 research papers follows from a conference on the interwoven themes of finite Desarguesian spaces, Steiner systems, coding theory, group theory, block designs, generalized quadrangles, and projective planes. There is a comprehensive introduction, which aims to interest the non-specialist in the subject and which indicates how the contributions fit together. This is a field of research pursued both for its intrinsic interest and its applications. These papers include a number of open problems whose statement requires very little mathematical sophistication.

Table of Contents

  • Introduction
  • Generalized Steiner systems of type 3-(v, {4, 6}, 1) E. F. Assmus Jr. and J. E. Novillo Sardi
  • 2. Some remarks on D. R. Hughes' construction of M12 and its associated designs T. Beth
  • 3. On k-sets of class [0, 1, 2, n]2 in PG(r,q) A. Bichara
  • 4. Covering graphs and symmetric designs R. L. Riggs and T. Ito
  • 5. Flat embeddings of 2n-gons F. J. Cameron
  • 6. Codes, caps and linear spaces F. V. Coccherini and G. Tallini
  • 7. Geometries originating from certain distance regular graphs A. M. Cohen
  • 8. Transitive automorphism groups of finite quasifields S. D. Cohen, M. J. Ganley and V. Jha
  • 9. On k-sets of type (m,n) in projective planes of square order M. de Finis
  • 10. On k-sets of type (m,n) in a Steiner system S(2, l, c) M. J. de Resmini
  • 11. Some translation planes of order 81 D. A. Foulser
  • 12. A new partial geometry constructed from the Hoffman-Singleton graph W. Haemers
  • 13. Locally cotriangular graphs J. I. Hall and E. E. Shult
  • 14. Coding theory of designs M. Hall Jr.
  • 15. On shears in fixed-point-free affine groups C. Hering
  • 16. On (k,n) -arcs and the falsity of the Lunelli-Cse conjecture R. Hill and J. R. M. Mason
  • 17. Cubic surfaces whose points all lie on their 27 lines J. W. P. Hirschfeld
  • 18. Existence results for translation nets D. Jungnickel
  • 19. Translation planes having PSL(2,w) or SL(3,w) as a collineation group M. J. Kalleher
  • 20. Sequenceable groups: a survey A. D. Keedwell
  • 21. Polar spaces embedded in a projective space Lefevre-Percsy
  • 22. On relations among the projective geometry codes R. A. Liebler
  • 23. Partition loops and affine geometries M. Marchi
  • 24. Regular cliques in graphs and special 1 1/2- designs A. Neumaier 25. Bericht uber Hecke Algebren und Coxeter Alegebren endlicher Geometrien U. Ott
  • 26. On buildings and locally finite Tits geometries U. Ott and M. A. Ronan
  • 27. Moufand conditions from finite generalized quadrangles S. E. Payne and J. A. Thas
  • 28. Embedding geometric lattices in a projective space N. Percsy
  • 29. Coverings of certain finite geometries M. A. Ronan
  • 30. On class-regular projective Hjelmslev planes S. S. Sane
  • 31. On multiplicity-free permutation representations J. Saxl
  • 32. On a characterization of the Grassman manifold representing the lines in a projective space G. Tallini
  • 33. Affine subplanes of projective planes K. Vedder
  • 34. Point stable designs K. E. Wolff
  • Other talks
  • Participants.

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