The Theory of Finite Linear Spaces
Combinatorics of Points and Lines

This 1994 text covers finite linear spaces.

Lynn Margaret Batten (Author), Albrecht Beutelspacher (Author)

9780521333177, Cambridge University Press

Hardback, published 26 November 1993

228 pages
22.9 x 15.2 x 1.8 cm, 0.51 kg

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

This 1994 text covers finite linear spaces. It contains all the important results that had been published up to the time of publication, 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.

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.

Subject Areas: Geometry [PBM]