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

by Lynn Margaret Batten, Albrecht Beutelspacher

Overview

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 designed to test comprehension of the material and a section of research problems for researchers.

Product Details

ISBN-13:	9780521333177
Publisher:	Cambridge University Press
Publication date:	11/26/1993
Pages:	228
Product dimensions:	5.98(w) x 9.02(h) x 0.71(d)

Table of Contents

1. Essentials; 2. Restricted linear spaces; 3. Line sizes; 4. Semi-affine linear spaces; 5. Complementation; 6. General configurations; 7. n-Dimensional linear spaces; 8. Groups; Appendix.

Editorial Reviews

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

From the Publisher