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Finite Geometries and Designs
Proceedings of the Second Isle of Thorns Conference 1980

Part of London Mathematical Society Lecture Note Series

E. F. Assmus Jr., J. E. Novillo Sardi, T. Beth, A. Bichara, R. L. Riggs, T. Ito, F. J. Cameron, F. V. Coccherini, G. Tallini, A. M. Cohen, S. D. Cohen, M. J. Ganley, V. Jha, M. de Finis, M. J. de Resmini, D. A. Foulser, W. Haemers, J. I. Hall, E. E. Shult, M. Hall Jr., C. Hering, R. Hill, J. R. M. Mason, J. W. P. Hirschfeld, D. Jungnickel, M. J. Kalleher, A. D. Keedwell, Lefèvre-Percsy, R. A. Liebler, M. Marchi, A. Neumaier U. Ott, M. A. Ronan, S. E. Payne, J. A. Thas, N. Percsy, S. S. Sane, J. Saxl, K. Vedder, K. E. Wolff
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  • Date Published: April 1981
  • availability: Available
  • format: Paperback
  • isbn: 9780521283786

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About the Authors
  • 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.

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    Product details

    • Date Published: April 1981
    • format: Paperback
    • isbn: 9780521283786
    • length: 380 pages
    • dimensions: 229 x 152 x 22 mm
    • weight: 0.55kg
    • availability: Available
  • 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 Lefèvre-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 über 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.

  • Editors

    P. J. Cameron

    J. W. P. Hirschfeld

    D. R. Hughes

    Contributors

    E. F. Assmus Jr., J. E. Novillo Sardi, T. Beth, A. Bichara, R. L. Riggs, T. Ito, F. J. Cameron, F. V. Coccherini, G. Tallini, A. M. Cohen, S. D. Cohen, M. J. Ganley, V. Jha, M. de Finis, M. J. de Resmini, D. A. Foulser, W. Haemers, J. I. Hall, E. E. Shult, M. Hall Jr., C. Hering, R. Hill, J. R. M. Mason, J. W. P. Hirschfeld, D. Jungnickel, M. J. Kalleher, A. D. Keedwell, Lefèvre-Percsy, R. A. Liebler, M. Marchi, A. Neumaier U. Ott, M. A. Ronan, S. E. Payne, J. A. Thas, N. Percsy, S. S. Sane, J. Saxl, K. Vedder, K. E. Wolff

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