Advances in Finite Geometries and Designs

This volume comprises papers presented at the Third Isle of Thorns Conference on Finite Geometries and Designs. The papers explore the structure and associated incidence structures of Galois geometries, and their related automorphism groups. Among the main topics covered are generalized quadrangles and n-gons, groups acting on geometries, linear spaces, partial geometries, diagram geometries, non-Desarguesian planes, strongly regular graphs, and designs. This timely collection of articles is expertly presented and will be of interest to research workers and postgraduates in combinatorics, design theory, and finite geometries.

Introduction
Flocks of Cones and Generalized Hexagons
Group Partitions, Affine Spaces and Translation Groups
On Maximal Sets of Nuclei in PG(2,q) and Quasi-Odd Sets in AG(2,q)
A Non-Degenerate Generalized Quadrangle with Lines of Size Four is Finite
On Abelian Collineation Groups of Finite Projective Planes
More Geometry for Hering's 3:SL(2,13)
Presentations for Certain Finite Quaternionic Reflection Groups
Geometric Hyperplanes of Embeddable Lie Incidence Geometries
Pointsets in Partial Geometries
One Diagram for Many Geometries
On An Exceptional Semi-Translation Plane
Strongly Regular Graphs Induced by Polarities of Symmetric Designs
A Problem on Squares in a Finite Field and its Application to Geometry
On Totally Irregular Simple Collineation Groups
On Some Rank 3 Partial Geometries
Intersection Numbers of Quasi-Multiples of Symmetric Designs
The Discriminant of a Cubic Curve
Automorphism Groups of Some Generalized Quadrangles
Collineation Groups of (q+t,t)-Arcs of Type (0,2,t) in a Desarguesian Plane of Order q
Pseudo-Symplectic Geometries over Finite Fields of Characteristic Two
Solutions of Quadratic Equations in a Groupring and Partial Addition Sets
A Remark on the Derivation of Flocks
A Geometric Approach to Semi-Cyclic Codes
Remarks on Non-Associative Galois Theory
Codes of Nets with Translations
Stabilizers of Hyperovals in PG(2,32)
On a Problem of Wielandt and a Question by Dembowski
(40,13,4)-Designs Derived from Stronly Regular Graphs
Generalized Reed-Solomon Codes and Normal Rational Curves: An Improvement of Results
Common Characterizations of the Finite Moufang Polygons
Complete Arcs in Galois Planes of Non-Square Order
Internal Nuclei of k-Sets in Finite Projective Spaces of Three Dimensions
Menon Difference Sets and Relative Difference Sets
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Advances in Finite Geometries and Designs Proceedings of the Third Isle of Thorns Conference 1990

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