Finite Projective Spaces of Three Dimensions

This volume is a successor to the title listed below. This book restricts itself to three dimensions and considers both those topics which are analogues of geometry over the complex numbers and topics arising out of the modern theory of incidence structures.
This self-contained and highly detailed study considers projective spaces of three dimensions over a finite field. It is the second and core volume of a three-volume treatise on finite projective spaces, the first volume being Projective Geometrics Over Finite Fields (OUP, 1979). The present work restricts itself to three dimensions, and considers both topics which are analogous of geometry over the complex numbers and topics that arise out of the modern theory of incidence structures. The book also examines properties of four and five dimensions, fundamental applications to translation planes, simple groups, and coding theory.