Finite Geometries and Designs (eBook, PDF)

Proceedings of the Second Isle of Thorns Conference 1980
Redaktion: Cameron, P. J.

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 16. April 1981
• Englisch
• ISBN-13: 9781107107762
• Artikelnr.: 39262101

Inhaltsangabe

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.