Incidence structures and ternary algebras

Abstract

CONTENTS Introduction Chapter I. Projective and affine planes § 1. On the concept of a projective and an affine plane § 2. Ternary algebra § 3. The relations between ternars of isomorphic projective planes § 4. The order of a projective plane § 5. The characteristic of a plane § 6. Finite cyclic planes and difference sets § 7. Configuration properties of projective planes § 8. Morphisms of projective planes § 9. On the classification of projective planes Chapter II. Generalizations of projective and affine planes § 1. Affine and projective Hjelmslev planes § 2. Affine and projective pseudoplanes § 3. Affine Hjelmslev pseudoplanes References