The Theory of Finite Linear Spaces

Combinatorics of Points and Lines
Erscheinungsjahr 2009
ISBN: 978-0-521-11418-9
Verlag: Cambridge University Press

Buch, Englisch, 228 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 377 g

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.

Autoren/Hrsg.

Batten, Lynn Margaret

Beutelspacher, Albrecht

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie

Inhaltsverzeichnis

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.