The Theory of Finite Linear Spaces: Combinatorics of Points and Linesby Lynn Margaret Batten, Albrecht Beutelspacher
Pub. Date: 11/26/1993
Publisher: Cambridge University Press
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.
- Cambridge University Press
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Table of Contents1. 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.
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