The Theory of Finite Linear Spaces: Combinatorics of Points and Lines

Description

This is the first comprehensive text to cover finite linear spaces. It contains all the important results that have been published up to the present day, and is designed to be used not only as a resource for researchers in this and related areas, but also as a graduate level text. In eight chapters the authors introduce and review fundamental results, and go on to cover the major areas of interest in linear spaces. A combinatorial approach is used for the greater part of the book, but in the final chapter recent advances in group theory relating to finite linear spaces are presented. At the end of each chapter there is a set of exercises which are designed to test comprehension of the material, and there is also a section of problems for researchers. It will be an invaluable book for researchers in geometry and combinatorics as well as forming an excellent text for graduate students.

"...designed both as a reference work for researchers and as a possible text for a graduate course..." Luc Teirlinck, Mathematical Reviews