LMS: 245 Geom Combinatorial Design (London Mathematical Society Lecture Note Series, Series Number 245)

This volume presents up-to-date research on finite geometries and designs, a key area in modern applicable mathematics. An introductory chapter discusses topics presented in each of the main chapters and is followed by articles from leading international figures in this field. These include a discussion of the current state of finite geometry from a group-theoretical viewpoint, and surveys of difference sets and of small embeddings of partial cycle systems into Steiner triple systems. Also presented are successful searches for spreads and packing of designs, rank three geometries with simplicial residues and generalized quadrangles satisfying Veblen's Axiom. In addition, there are articles on new 7-designs, biplanes, various aspects of triple systems, and many other topics. This book will be a useful reference for researchers working in finite geometries, design theory or combinatorics in general.

This volume examines finite geometries and designs, a key area in modern applicable mathematics.An introductory chapter first discusses topics presented in each of the main chapters. This is followed by state-of-the-art surveys from leading international mathematicians in their fields. Important proofs are presented and references given at the end of each chapter. This will be a useful reference for researchers working in finite geometries, design theory or combinatorics in general.