Geometry, Combinatorial Designs and Related Structures
eBook - PDF

Geometry, Combinatorial Designs and Related Structures

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

Geometry, Combinatorial Designs and Related Structures

About this book

This volume presents up-to-date research on finite geometries and designs, a key area in modern applicable mathematics. An introductory chapter discusses topics presented in each of the main chapters, and is followed by articles from leading international figures in this field. These include a discussion of the current state of finite geometry from a group-theoretical viewpoint, and surveys of difference sets and of small embeddings of partial cycle systems into Steiner triple systems. Also presented are successful searches for spreads and packing of designs, rank three geometries with simplicial residues and generalized quadrangles satisfying Veblen's Axiom. In addition, there are articles on new 7-designs, biplanes, various aspects of triple systems, and many other topics. This book will be a useful reference for researchers working in finite geometries, design theory or combinatorics in general.

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Yes, you can access Geometry, Combinatorial Designs and Related Structures by J. W. P. Hirschfeld,S. S. Magliveras,M. J. de Resmini in PDF and/or ePUB format, as well as other popular books in Mathematics & Discrete Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Title
  4. Copyright
  5. Contents
  6. Preface
  7. Introduction
  8. S. Akbari, G.B. Khosrovshahi, C. Maysoori, and S. Shariari On maximum size anti-Pasch sets of triples
  9. A. Betten, R. Laue, and A. Wassermann Some simple 7—designs
  10. A. Bonisoli and A. Cossidente Inscribed bundles, Veronese surfaces and caps
  11. A.E. Brouwer, W.H. Haemers, and V.D. Tonchev Embedding partial geometries in Steiner designs
  12. P.J. Cameron Finite geometry after Aschbacher's theorem: PGL(n, q) from a Kleinian viewpoint
  13. A. Cossidente and G. Korchmaros The Hermitian function field arising from a cyclic arc in a GaloiC vlane
  14. P. Danziger and E. Mendelsohn Intercalates everywhere
  15. D. Jungnickel and B. Schmidt Difference sets: an update
  16. J.D. Key and V.D. Tonchev Computational results for the known biplanes of order 9
  17. C.C. Lindner A survey of small embeddings for partial cycle systems
  18. A.C.H. Ling and C.J. Colbourn Rosa triple systems
  19. R. Mathon Searching for spreads and packings
  20. K. Metsch A note on Buekenhout-Metz unitals
  21. CM. O'Keefe and T. Penttila Elation generalized quadrangles of order (q2,q)
  22. A.R. Prince Uniform parallelisms of PG(3,3)
  23. R. Shaw Double-fives and partial spreads in PG(5,2)
  24. E.E. Shult Rank three geometries with simplicial residues
  25. J.A. Thas and H. Van Maldeghem Generalized quadrangles and the Axiom of Veblen
  26. Talks
  27. Participants