Finite Geometries and Designs
eBook - PDF

Finite Geometries and Designs

Proceedings of the Second Isle of Thorns Conference 1980

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Finite Geometries and Designs

Proceedings of the Second Isle of Thorns Conference 1980

About this book

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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Yes, you can access Finite Geometries and Designs by P. J. Cameron,J. W. P. Hirschfeld,D. R. Hughes in PDF and/or ePUB format, as well as other popular books in Mathematics & Logic in Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Series Page
  3. Title
  4. Copyright
  5. CONTENTS
  6. PREFACE
  7. INTRODUCTION
  8. GENERALIZED STEINER SYSTEMS OF TYPE 3– (v, { 4,6}, 1)
  9. SOME REMARKS ON D.R. HUGHES' CONSTRUCTION OF M12 AND ITS ASSOCIATED DESIGNS
  10. ON k-SETS OF CLASS [0,1, 2,n]2 IN PG(r,q)
  11. COVERING GRAPHS AND SYMMETRIC DESIGNS
  12. ARCS AND BLOCKING SETS
  13. FIAT EMBEDDINGS OF NEAR 2n-GONS
  14. CODES, CAPS AND LINEAR SPACES
  15. GEOMETRIES ORIGINATING FROM CERTAIN DISTANCE-REGULAR GRAPHS
  16. TRANSITIVE AUTOMORPHISM GROUPS OF FINITE QUASIFIELDS
  17. ON k-SETS OF TYPE (m,n) IN PROJECTIVE PLANES OF SQUARE ORDER
  18. ON k-SETS OF TYPE (m,n) IN A STEINER SYSTEM S(2, I, v)
  19. SOME TRANSLATION PLANES OF ORDER 81
  20. A NEW PARTIAL GEOMETRY CONSTRUCTED FROM THE HOFFMAN-SINGLETON GRAPH
  21. LOCALLY COTRIANGULAR GRAPHS
  22. CODING THEORY OF DESIGNS
  23. ON SHEARS IN FIXED–POINT–FREE AFFINE GROUPS
  24. ON (k,n)–ARCS AND THE FALSITY OF THE LUNELLI-SCE CONJECTURE
  25. CUBIC SURFACES WHOSE POINTS ALL LIE ON THEIR 27 LINES
  26. EXISTENCE RESULTS FOR TRANSLATION NETS
  27. TRANSLATION PLANES HAVING PSL(2,w) OR SL(3,w) AS A COLLINEATION GROUP
  28. SEQUENCEABLE GROUPS: A SURVEY
  29. POLAR SPACES EMBEDDED IN A PROJECTIVE SPACE
  30. ON RELATIONS AMONG THE PROJECTIVE GEOMETRY CODES
  31. PARTITIOJ LOOPS AND AFFINE GEOMETRIES
  32. REGULAR CLIQUES IN GRAPHS AND SPECIAL 1 1/2 DESIGNS
  33. BERICHT UBER HECKE ALGEBREN UND COXETER ALGEBREN EINDLICHER GEQMETRIEN
  34. ON BUILDINGS AND LOCALLY FINITE TITS GEOMETRIES
  35. MOUFANG CCMDITIOsfS FOR FINITE GENERALIZED QUADRANGLES
  36. EMBEDDING GEOMETRIC LATTICES IN A PROJECTIVE SPACE
  37. COVERINGS OF CERTAIN FINITE GEOMETRIES
  38. ON CLASS-REGULAR PROJECTIVE HJELMSLEV PLANES
  39. ON MULTIPLICITY-FREE PERMUTATION REPRESENTATIONS
  40. ON A CHARACTERIZATION OF THE GRASSMANN MANIFOLD REPRESENTING THE LINES IN A PROJECTIVE SPACE
  41. AFFINE SUBPLANES OF PROJECTIVE PLANES
  42. POINT STABLE DESIGNS
  43. OTHER TALKS
  44. PARTICIPANTS