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

Batten, Lynn Margaret/ Beutelspacher, Albrecht

Cambridge University Press（2009/04発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 228 p.
• 言語 ENG
• 商品コード 9780521114189
• DDC分類 512.52

基本説明

New in paperback. Hardcover was published in 1993.

Full Description

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.

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.