Combinatorics ′86, Proceedings of the International Conference on Incidence Geometries and Com binatorial Structures

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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.

Author(s): A. Barloti, M. Marchi and G. Tallini (Eds.)
Series: Annals of Discrete Mathematics 37
Publisher: North Holland
Year: 1988

Language: English
Commentary: +OCR
Pages: ii-xvi, 1-502

Content:
General Editor
Page ii

Edited by
Page iii

Copyright page
Page iv

Foreword
Page v
A. Barlotti, M. Marchi, G. Tallini

Opening Welcome
Page vii
Giuseppe Tallini

Participants
Pages xiii-xvi

Net of Rationality in a Minkowski Plane Original Research Article
Pages 1-6
Rafael Artzy

A New Class of Translation Planes Original Research Article
Pages 7-20
R.D. Baker, G.L. Ebert

Quasigroups and Groups Arising from Cubic Surfaces Original Research Article
Pages 21-30
Lucien Beneteau

Blocking Sets in the Large Mathieu Designs, I : the Case S(3, 6, 22) Original Research Article
Pages 31-42
Luigia Berardi

Blocking Sets in the Projective Plane of Order Four Original Research Article
Pages 43-50
Luigia Berardi, Franco Eugeni

Kalahari and the Sequence “Sloane No. 377” Original Research Article
Pages 51-58
Dieter Betten

Enciphered Geometry. Some Applications of Geometry To Cryptography Original Research Article
Pages 59-68
Albrecht Beutelspacher

On Finite Grassmann Spaces Original Research Article
Pages 69-73
Paola Biondi

The Regular Subgroups of the Sharply 3–Transitive Finite Permutation Groups () Original Research Article
Pages 75-86
Arrigo Bonisoli

Hyperovals in Desarguesian Planes of Even Order Original Research Article
Pages 87-94
William Cherowitzo

Circular Block Designs from Planar Near-Rings Original Research Article
Pages 95-105
James R. Clay

Extending the Concept of Decomposability for Triple Systems Original Research Article
Pages 107-116
C.J. Colbourn, E. Mendelsohn, A. Rosa

Translation Partial Geometries Original Research Article
Pages 117-135
F. De Clerck, H. Gevaert, J.A. Thas

On Admissible Sets with Two Intersection Numbers in A Projective Plane Original Research Article
Pages 137-146
Marialuisa J. de Resmini

Commutative Finite A-Hypergroups of Length Two Original Research Article
Pages 147-156
Mario De Salvo

On Sets of Fixed Parity in Steiner Systems Original Research Article
Pages 157-167
Franco Eugeni, Stefano Innamorati

Blocking Sets of Index Two Original Research Article
Pages 169-176
Franco Eugeni, Erika Mayer

A Short Proof that Ordered Linear Spaces are Locally Projective Original Research Article
Pages 177-179
Rolfdieter Frank

Midpoints and Midlines in a Finite Hyperbolic Plane Original Research Article
Pages 181-187
Cyril W.L. Garner

Hall-Ryser Type Theorems for Relative Difference Sets Original Research Article
Pages 189-193
Dina Ghinelli Smit

Coordinatization of Generalized Quadrangles Original Research Article
Pages 195-207
G. Hanssens, H. Van Maldeghem

Construction of Some Planar Translation Spaces Original Research Article
Pages 209-216
H. Lenz, Armin Herzer

Regular Sets in Geometries Original Research Article
Pages 217-223
J.D. Key

Group Preserving Extensions of Skew Parabola Planes Original Research Article
Pages 225-229
Norbert Knarr

Products of Involutions in Orthogonal Groups Original Research Article
Pages 231-247
Frieder Knüppel

Examples of Ovoidal Möbius Planes of Hering Class III Original Research Article
Pages 249-250
Hans-Joachim Kroll

A Construction of Pairs and Triples of k-Incomplete Orthogonal Arrays Original Research Article
Pages 251-255
C. Pellegrino, P. Lancellotti

Relative Infinity in Projective De Sitter Spacetime and Its Relation to Proper Time Original Research Article
Pages 257-264
J.A. Lester

Affine Hjelmslev Rings and Planes Original Research Article
Pages 265-275
J.W. (Michael) Lorimer

Irreducible Representations of Hecke Algebras of Rank 2 Geometries Original Research Article
Pages 277-279
Stefan Löwe

A Characterization of Pappian Affine Hjelmslev Planes Original Research Article
Pages 281-291
Helmut Mäurer, Wolfgang Nolte

Embedding Locally Projective Planar Spaces Into Projective Spaces Original Research Article
Pages 293-295
Klaus Metsch

On Topological Incidence Groupoids Original Research Article
Pages 297-300
Rita Meyer, Jürgen Misfeld, Elena Zizioli

Isomorphisms of Finite Hypergroupoids Original Research Article
Pages 301-310
Renato Migliorato

Seminversive Planes Original Research Article
Pages 311-313
Domenico Olanda

Geometric and Algebraic Methods in the Classification of Geometries Belonging to Lie Diagrams Original Research Article
Pages 315-355
Antonio Pasini

The Thas-Fisher Generalized Quadrangles Original Research Article
Pages 357-366
Stanley E. Payne

On Group Spaces Defined by Semidirect Products of Groups Original Research Article
Pages 367-374
J. Pfalzgraf

On Permutation Properties for Finitely Generated Semigroups Original Research Article
Pages 375-376
Giuseppe Pirillo

On k-Sets of Type (o,m,n) in Sr,q with Three Exterior Hyperplanes Original Research Article
Pages 377-383
Rita Procesi Ciampi, Rosaria Rota

An Algorithm for LS - Colourations Original Research Article
Pages 385-390
Luigia Puccio

A Blocking Set in PG(3,q), q ≥ 5 Original Research Article
Pages 391-394
Sandro Rajola

A Characterization of All Abelian Groups Whose Lattice of Precompact Group Topologies Represents A Projective Geometry Original Research Article
Pages 395-398
Dieter Remus

Groups of Homologies in 4-Dimensional Stable Planes Are Classical Original Research Article
Pages 399-403
Hans-Peter Seidel

Polynomial Species and Connections Among Bases of the Symmetric Polynomials Original Research Article
Pages 405-412
Domenico Senato, Antonietta M. Venezia

Set and Sequence Closure for Finite Permutation Groups Original Research Article
Pages 413-419
Johannes Siemons

P-Cyclic Hypergroups with Three Characteristic Elements Original Research Article
Pages 421-426
Thomas N. Vougiouklis, Stefanos H. Spartalis

Order and Uniform Structure in Projective Geometry Original Research Article
Pages 427-431
Horst Szambien

On Blocking Sets in Finite Projective and Affine Spaces Original Research Article
Pages 433-450
Giuseppe Tallini

Symmetric Designs without Ovals and Extremal Self-Dual Codes Original Research Article
Pages 451-457
Vladimir D. Tonchev

Groups in Hypergroups Original Research Article
Pages 459-467
Thomas Vougiouklis

The Perron-Frobenius Projection in the Theory of Graphs, Digraphs, Designs and Stochastic Processes Original Research Article
Pages 469-477
Karl Erich Wolff

On the Non-Existence of Certain Difference Sets Original Research Article
Pages 479-484
N. Zagaglia Salvi

On Complete 12-Arcs in Projective Planes of Order 12 Original Research Article
Pages 485-492
Corrado Zanella

Block Designs Admitting Flag Transitive Groups of Automorphisms Original Research Article
Pages 493-495
Paul-Hermann Zieschang

An Independence Theorem on the Conditions for Incidence Loops Original Research Article
Pages 497-502
Elena Zizioli