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" Combinatorics '86 : "
edited by A. Barlotti, M. Marchi, G. Tallini.
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BL
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| Record Number
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968888
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b723258
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| Main Entry
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International Conference on Incidence Geometries and Combinatorial Structures(1986 :, Trento, Italy)
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| Title & Author
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Combinatorics '86 : : proceedings of the International Conference on Incidence Geometries and Combinatorial Structures, Passo della Mendola, Trento, Italy, 30 June-5 July, 1986 /\ edited by A. Barlotti, M. Marchi, G. Tallini.
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| Publication Statement
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Amsterdam ;New York :: North-Holland ;New York, N.Y., U.S.A. :: Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,, 1988.
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| Series Statement
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Annals of discrete mathematics ;; 37
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1 online resource (xvi, 502 pages) :: illustrations.
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| ISBN
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0080867774
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: 0444703691
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: 1281793167
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: 661179316X
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: 9780080867779
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: 9780444703699
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: 9781281793164
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: 9786611793166
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| Bibliographies/Indexes
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Includes bibliographical references.
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| Contents
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Front Cover; Combinatorics '86; Copyright Page; Contens; Foreword; Opening Welcome; Participants; Chapter 1. Net of Rationality in a Minkowski Plane; Chapter 2. A New Class of Translation Planes; Chapter 3. Quasigroups and Groups Arising from Cubic Surfaces; Chapter 4. Blocking Sets in the Large Mathieu Designs, I: The Case; Chapter 5. Blocking Sets in the Projective Plane of Order Four; Chapter 6. Kalahari and the Sequence ""Sloane No. 377""; Chapter 7. Enciphered Geometry. Some Applications of Geometry to Cryptography; Chapter 8. On Finite Grassmann Spaces
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Chapter 18. A Short Proof that Ordered Linear Spaces a r e Locally ProjectiveChapter 19. Midpoints and Midlines in a Finite Hyperbolic Plane; Chapter 20. Hall-Ryser Type Theorems for Relative Difference Sets; Chapter 21. Coordination of Generalized Quadrangles; Chapter 22. Construction of Some Planar Translation Spaces; Chapter 23. Regular Sets in Geometries; Chapter 24. Group Preserving Extensions of Skew Parabola Planes; Chapter 25. Products of Involutions in Orthogonal Groups; Chapter 26. Examples of Ovoidal MBbius Planes of Hering Class II1
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Chapter 27. A Construction of Pairs and Triples of k-Incomplete Orthogonal ArraysChapter 28. Relative Infinity in Projective De Sitter Spacetime and Its Relation to Proper Time; Chapter 29. Affine Hjelmslev Rings and Planes; Chapter 30. Irreducible Representations of Hecke Algebras of Rank 2 Geometries; Chapter 31. A Characterization of Pappian Affine Hjelmslev Planes; Chapter 32. Embedding Locally Projective Planar Spaces in to Projective Spaces; Chapter 33. On Topological Incidence Groupoids; Chapter 34. Isomorphisms of Finite Hypergroupoids; Chapter 35. Seminversive Planes
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Chapter 36. Geometric and Algebraic Methods in the Classification of Geometries Belonging to Lie DiagramsChapter 37. The Thas-Fisher Generalized Quadrangles; Chapter 38. On Group Spaces Defined by Semidirect Products of Groups; Chapter 39. On Permutation Properties for Finitely Generated Semigroups; Chapter 40. On k-Sets of Type (O,m,n) in Sr,q with Three Exterior Hyperplanes; Chapter 41. An Algorithm for LS -colourations; Chapter 42. A Blocking Set in PG ( 3 , q ) , q >= 5
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Chapter 9. The Regular Subgroups of the Sharply 3-Transitive Finite Permutation GroupsChapter 10. Hyperovals in Desarguesian Planes of Even Order; Chapter 11. Circular Block Designs from Planar Near-Rings; Chapter 12. Extending the Concept of Decomposability for Triple Systems; Chapter 13. Translation Partial Geometries; Chapter 14. On Admissible Sets with Two Intersection Numbers in a Projective PLane; Chapter 15. Commutative Finite A-Hypergroups of Length Two; Chapter 16. On Sets of Fixed Parity in Steiner Systems; Chapter 17. Blocking Sets of Index Two
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| Abstract
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Recent developments in all aspects of combinatorial and incidence geometry are covered in this volume, including their links with the foundations of geometry, graph theory and algebraic structures, and the applications to coding theory and computer science. Topics covered include Galois geometries, blocking sets, affine and projective planes, incidence structures and their automorphism groups. Matroids, graph theory and designs are also treated, along with weak algebraic structures such as near-rings, near-fields, quasi-groups, loops, hypergroups etc., and permutation sets and groups. The vitality of combinatorics today lies in its important interactions with computer science. The problems which arise are of a varied nature and suitable techniques to deal with them have to be devised for each situation; one of the special features of combinatorics is the often sporadic nature of solutions, stemming from its links with number theory. The branches of combinatorics are many and various, and all of them are represented in the 56 papers in this volume.
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| Subject
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Combinatorial geometry, Congresses.
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Combinatorial geometry.
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MATHEMATICS-- Geometry-- General.
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| Dewey Classification
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516/.12
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| LC Classification
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QA167.I59 1986eb
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| Added Entry
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Barlotti, A., (Adriano),1923-
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Marchi, M.
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Tallini, G., (Giuseppe),1930-
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