The book deals with fundamental structural aspects of algebraic and simple groups, Coxeter groups and the related geometries and buildings. All contributing authors are very active researchers in the topics related to the theme of the book. Some of the articles provide the lates…
Introduction Definition Some identities From quadrangular systems to Moufang quadrangles From Moufang quadrangles to quadrangular systems Some remarks Examples The classification Appendix A. Abelian quadrangular systems Bibliography.
The projective and polar geometries that arise from a vector space over a finite field are particularly useful in the construction of combinatorial objects, such as latin squares, designs, codes and graphs. This book provides an introduction to these geometries and their many ap…