Description
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.
Chapter
Chapter 3. Quasigroups and Groups Arising from Cubic Surfaces
pp.：
38 – 48
Chapter 4. Blocking Sets in the Large Mathieu Designs, I: The Case
pp.：
48 – 60
Chapter 5. Blocking Sets in the Projective Plane of Order Four
pp.：
60 – 68
Chapter 6. Kalahari and the Sequence "Sloane No. 377"
pp.：
68 – 76
Chapter 7. Enciphered Geometry. Some Applications of Geometry to Cryptography
pp.：
76 – 86
Chapter 8. On Finite Grassmann Spaces
pp.：
86 – 92
Chapter 9. The Regular Subgroups of the Sharply 3-Transitive Finite Permutation Groups
pp.：
92 – 104
Chapter 10. Hyperovals in Desarguesian Planes of Even Order
pp.：
104 – 112
Chapter 11. Circular Block Designs from Planar Near-Rings
pp.：
112 – 124
Chapter 12. Extending the Concept of Decomposability for Triple Systems
pp.：
124 – 134
Chapter 13. Translation Partial Geometries
pp.：
134 – 154
Chapter 14. On Admissible Sets with Two Intersection Numbers in a Projective PLane
pp.：
154 – 164
Chapter 15. Commutative Finite A-Hypergroups of Length Two
pp.：
164 – 174
Chapter 16. On Sets of Fixed Parity in Steiner Systems
pp.：
174 – 186
Chapter 17. Blocking Sets of Index Two
pp.：
186 – 194
Chapter 18. A Short Proof that Ordered Linear Spaces a r e Locally Projective
pp.：
194 – 198
Chapter 19. Midpoints and Midlines in a Finite Hyperbolic Plane
pp.：
198 – 206
Chapter 20. Hall-Ryser Type Theorems for Relative Difference Sets
pp.：
206 – 212
Chapter 21. Coordination of Generalized Quadrangles
pp.：
212 – 226
Chapter 22. Construction of Some Planar Translation Spaces
pp.：
226 – 234
Chapter 23. Regular Sets in Geometries
pp.：
234 – 242
Chapter 24. Group Preserving Extensions of Skew Parabola Planes
pp.：
242 – 248
Chapter 25. Products of Involutions in Orthogonal Groups
pp.：
248 – 266
Chapter 26. Examples of Ovoidal MBbius Planes of Hering Class II1
pp.：
266 – 268
Chapter 27. A Construction of Pairs and Triples of k-Incomplete Orthogonal Arrays
pp.：
268 – 274
Chapter 28. Relative Infinity in Projective De Sitter Spacetime and Its Relation to Proper Time
pp.：
274 – 282
Chapter 29. Affine Hjelmslev Rings and Planes
pp.：
282 – 294
Chapter 30. Irreducible Representations of Hecke Algebras of Rank 2 Geometries
pp.：
294 – 298
Chapter 31. A Characterization of Pappian Affine Hjelmslev Planes
pp.：
298 – 310
Chapter 32. Embedding Locally Projective Planar Spaces in to Projective Spaces
pp.：
310 – 314
Chapter 33. On Topological Incidence Groupoids
pp.：
314 – 318
Chapter 34. Isomorphisms of Finite Hypergroupoids
pp.：
318 – 328
Chapter 35. Seminversive Planes
pp.：
328 – 332
Chapter 36. Geometric and Algebraic Methods in the Classification of Geometries Belonging to Lie Diagrams
pp.：
332 – 374
Chapter 37. The Thas-Fisher Generalized Quadrangles
pp.：
374 – 384
Chapter 38. On Group Spaces Defined by Semidirect Products of Groups
pp.：
384 – 392
Chapter 39. On Permutation Properties for Finitely Generated Semigroups
pp.：
392 – 394
Chapter 40. On k-Sets of Type (O,m,n) in Sr,q with Three Exterior Hyperplanes
pp.：
394 – 402
Chapter 41. An Algorithm for LS -colourations
pp.：
402 – 408
Chapter 42. A Blocking Set in PG ( 3 , q ) , q >= 5
pp.：
408 – 412
Chapter 43. A Characterization of all Abelian Groups whose Lattice of Precompact Group Topologies Represents a Projective Geometry
pp.：
412 – 416
Chapter 44. Groups of Homologies in 4-Dimensional Stable Planes are Classical
pp.：
416 – 422
Chapter 45. Polynomial Species and Connections among Bases of the Symmetric Polynomials
pp.：
422 – 430
Chapter 46. Set and Sequence Closure for Finite Permutation Groups
pp.：
430 – 438
Chapter 47. P-Cyclic Hypergroups with Three Characteristic Elements
pp.：
438 – 444
Chapter 48. Order and Uniform Structure in Projective Geometry
pp.：
444 – 450
Chapter 49. On Blocking Sets in Finite Projective and Affine Spaces
pp.：
450 – 468
Chapter 50. Symmetric Designs without Ovals and Extremal Self-Dual Codes
pp.：
468 – 476
Chapter 51. Groups in Hypergroups
pp.：
476 – 486
Chapter 52. The Perron-Frobenius Projection in the Theory of Graphs, Digraphs, Designs and Stochastic Processes
pp.：
486 – 496
Chapter 53. On the Non-Existence of Certain Difference Sets
pp.：
496 – 502
Chapter 54. On Complete 12-Arcs i n Projective Planes of Order 12
pp.：
502 – 510
Chapter 55. Block Designs Admitting Flag Transitive Groups of Automorphisms
pp.：
510 – 514
Chapter 56. An Independence Theorem on the Conditions for Incidence Loops
pp.：
514 – 520
Combinatorics '86
( Volume 37 )
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