CHAPTER 4

Projective Planes

Albrecht BEUTELSPACHER

Mathematisches Institut, Justus-Liebig-Universität Giessen, Arndstrasse 2, D-35392 Giessen, Germany

Contents

Introduction

1. Constructions

2. Characterizations

2.1. Collineation groups

2.2. Projectivities

2.3. Dualities

3. Combinatorics

3.1. -arcs

3.2. Ovals and hyperovals

3.3. Arcs

3.4. Unitals

3.5. Nuclei

3.6. Blocking sets

4. Nonexistence theorems

5. Embeddings

References