Finite Geometries and Combinatorics [Paperback]

This is a collection of 35 articles on covering topics such as finite projective spaces, generalised polygons, strongly regular graphs, diagram geometries and polar spaces.Everyday life is full of applications of finite geometry and combinatorics--from telephones to compact disc players and the codes on any item on supermarket shelves. This collection of 35 articles covers topics such as finite projective spaces, generalized polygons, strongly regular graphs, diagram geometries and polar spaces.Everyday life is full of applications of finite geometry and combinatorics--from telephones to compact disc players and the codes on any item on supermarket shelves. This collection of 35 articles covers topics such as finite projective spaces, generalized polygons, strongly regular graphs, diagram geometries and polar spaces.This is a collection of thirty-five articles, covering topics such as finite projective spaces, generalized polygons, strongly regular graphs, diagram geometries, and polar spaces. Contained here are articles from many of the leading practitioners in the field including, for the first time, several distinguished Russian mathematicians. Many of the papers contain important new results and the growing use of computer algebra packages in this area is also demonstrated.1. Generalized hexagons and BLT-sets L. Bader and G. Lunardon; 2. Orthogonally divergent spreads of Hermitian curves R. D. Baker, G. L. Ebert, G. Korchm?ros, and T.Sz?nyi; 3. Lifts of nuclei in finite projective spaces A. Blokhuis and F. Mazzocca; 4. Large minimal blocking sets, strong representative systems, and partial unitals A. Blokhuis and K. Metsch; 5. The complement of a geometric hyperplane in a generalized polygon is usually connected A. E. Brouwer; 6. Locally co-Heawood graphs A. E. Brouwer, D. G. Fon-der-Flaass, and S. V. Shpectorov; 7. A theorem of Parmentier characterizing projective spaces by polarities F. Buekenhout; 8. Geometries with diagrams LP* F. Buekenhout and O. H. Kil£!