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Finite Geometries and Combinatorics

Finite Geometries and Combinatorics

$67.95 (C)

Part of London Mathematical Society Lecture Note Series

L. Bader, G. Lunardon, R. D. Baker, G. L. Ebert, G. Korchmáros, T. Szönyi, A. Blokhuis, F. Mazzocca, K. Metsch, A. E. Brouwer, D. G. Fon-der-Flaass, S. V. Shpectorov, F. Buekenhout, O. H. King, H. van Maldeghem, P. J. Cameron, C. E. Praeger, H. Cuypers, V. de Smet, D. Ghinelli, D. G. Glynn, C. E. Gordon, W. Haemers, J. W. P. Hirschfeld, J. Voloch, C. Y. Ho, C. Huybrechts, V. Jha, G. P. Wene, N. L. Johnson, T. Meixner, A Pasini, G. E. Moorhouse, B. Mühlherr, A. Munemasa, S. V. Shpectorov, D. V. Pasechnik, S. E. Payne, E. E. Shult, L. H. Soicher, L. Storme, T. Szönyi, J. A. Thas, C. Herssens, F. De Clerck, J. van Bon, F. Wettl
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  • Date Published: November 1993
  • availability: Available
  • format: Paperback
  • isbn: 9780521448505

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About the Authors
  • This is a collection of thirty-five articles, covering topics such as finite projective spaces, generalized polygons, strongly regular graphs, diagram geometries, and polar spaces. Contained here are articles from many of the leading practitioners in the field including, for the first time, several distinguished Russian mathematicians. Many of the papers contain important new results and the growing use of computer algebra packages in this area is also demonstrated.

    • Only selected papers from the meeting are included
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    • A topic with many applications, from telephones to CD players
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    Product details

    • Date Published: November 1993
    • format: Paperback
    • isbn: 9780521448505
    • length: 424 pages
    • dimensions: 229 x 152 x 23 mm
    • weight: 0.598kg
    • availability: Available
  • Table of Contents

    1. Generalized hexagons and BLT-sets L. Bader and G. Lunardon
    2. Orthogonally divergent spreads of Hermitian curves R. D. Baker, G. L. Ebert, G. Korchmáros, and T.Szönyi
    3. Lifts of nuclei in finite projective spaces A. Blokhuis and F. Mazzocca
    4. Large minimal blocking sets, strong representative systems, and partial unitals A. Blokhuis and K. Metsch
    5. The complement of a geometric hyperplane in a generalized polygon is usually connected A. E. Brouwer
    6. Locally co-Heawood graphs A. E. Brouwer, D. G. Fon-der-Flaass, and S. V. Shpectorov
    7. A theorem of Parmentier characterizing projective spaces by polarities F. Buekenhout
    8. Geometries with diagrams LP* F. Buekenhout and O. H. King
    9. Remarks on finite generalized hexagons and octagons with a point transitive automorphism group F. Buekenhout and H. van Maldeghem
    10. Block-transitive t- designs, II: large t P. J. Cameron and C. E. Praeger
    11. Generalized Fischer spaces H. Cuypers
    12. Ovoids and windows in finite generalized hexagons V. de Smet and H. van Maldeghem
    13. Flag transitive L.C2 geometries D. Ghinelli
    14. On nonics, ovals and codes in Desarguesian planes of even order D. G. Glynn
    15. Orbits of arcs in projective spaces C. E. Gordon
    16. There exists no (76,21,2,7) regular graph W. Haemers
    17. Group arcs of prime power order on cubic curves J. W. P. Hirschfeld and J. Voloch
    18. Planar Singer groups with even order multiplier groups C. Y. Ho
    19. On a footnote of Tits concerning Dn-geometries C. Huybrechts
    20. The structure of the central units of a commutative plane V. Jha and G. P. Wene
    21. Partially sharp subsets of PGL(n,q) N. L. Johnson
    22. Partial ovoids and generalized hexagons G. Lunardon
    23. A census of known flag-transitive extended grids T. Meixner and A. Pasini
    24. Root lattice constructions of ovoids G. E. Moorhouse
    25. Coxeter groups in Coxeter groups B. Mühlherr
    26. A local characterization of the graphs of alternating forms A. Munemasa and S. V. Shpectorov
    27. A local characterization of the graphs of alternating forms and the graphs of quadratic forms over GF(2) A. Munemasa, D. V. Pasechnik, and S. V. Shpectorov
    28. On some locally 3-transposition graphs D. V. Pasechnik
    29. Coherent configurations derived from quasiregular points in generalized quadrangles S. E. Payne
    30. On Veldkamp spaces E. E. Shult
    31. The Lyons group has no distance transitive representation L. H. Soicher
    32. Intersection of arcs and normal rational curves in spaces of odd characteristic L. Storme and T. Szönyi
    33. Flocks and partial flocks of the quadratic cone in PG(3,q) J. A. Thas, C. Herssens, and F. de Clerck
    34. Some extended generalized hexagons J. van Bon
    35. Nuclei in finite non-Desarguesian projective planes F. Wettl.

  • Editors

    F. de Clerck, Universiteit Gent, Belgium

    J. Hirschfeld, University of Sussex

    Contributors

    L. Bader, G. Lunardon, R. D. Baker, G. L. Ebert, G. Korchmáros, T. Szönyi, A. Blokhuis, F. Mazzocca, K. Metsch, A. E. Brouwer, D. G. Fon-der-Flaass, S. V. Shpectorov, F. Buekenhout, O. H. King, H. van Maldeghem, P. J. Cameron, C. E. Praeger, H. Cuypers, V. de Smet, D. Ghinelli, D. G. Glynn, C. E. Gordon, W. Haemers, J. W. P. Hirschfeld, J. Voloch, C. Y. Ho, C. Huybrechts, V. Jha, G. P. Wene, N. L. Johnson, T. Meixner, A Pasini, G. E. Moorhouse, B. Mühlherr, A. Munemasa, S. V. Shpectorov, D. V. Pasechnik, S. E. Payne, E. E. Shult, L. H. Soicher, L. Storme, T. Szönyi, J. A. Thas, C. Herssens, F. De Clerck, J. van Bon, F. Wettl

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