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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.
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