Kárteszi Ferenc: Introduction to finite geometries - Disquisitiones mathematicae Hungaricae 7. (Budapest, 1976)

F. KÁRTESZI INTRODUCTION TO FINITE GEOMETRIES The birth of the theory of finite geometries and its rapid development over the last 25 years is primarily due to its applications in the following fields: statistics and information theory; modem algebra; finite algebraic structures; combinatorial analysis and block systems. In this book, the author presents certain aspects of his lectures on Projective Geometry held over a period of many years. The ovals of Galois planes are discussed in detail, and examples are given of non-Desarguesian planes, finite hyper­bolical planes, and finite Möbius planes. Group theoretical and combinatorial methods, as well as methods using the coordinate system, are discussed. The first chapter in this book is com­plete in itself and requires no specialist knowledge; it can be read without difficulty by all students of modern mathematics. By means of extensive exercises, the student can further acquire a certain degree of competence enabling research work on the themes in question. AKADÉMIAI KIADÓ Publishing House of the Hungarian Academy of Sciences BUDAPEST ISBN 963 05 0229 1

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