Finite Geometries and Combinatorics (eBook, PDF)

Redaktion: Clerck, F. de

• Format: PDF

Produktbeschreibung

Finite geometry and combinatorics is the art of counting any phenomena that can be described by a diagram. Everyday life is full of applications; from telephones to compact disc players, from the transmission of confidential information to the codes on any item on supermarket shelves. This is a collection of thirty-five articles on covering topics such as finite projective spaces, generalized polygons, strongly regular graphs, diagram geometries and polar spaces. Included 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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 21. Oktober 1993
• Englisch
• ISBN-13: 9781139243230
• Artikelnr.: 38405531

Inhaltsangabe

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.