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Originally published in 1981, this collection of 33 research papers follows from a conference on the interwoven themes of finite Desarguesian spaces, Steiner systems, coding theory, group theory, block designs, generalized quadrangles, and projective planes. There is a comprehensive introduction, which aims to interest the non-specialist in the subject and which indicates how the contributions fit together. This is a field of research pursued both for its intrinsic interest and its applications. These papers include a number of open problems whose statement requires very little mathematical sophistication.

Finite geometries. --- Combinatorial designs and configurations. --- Configurations and designs, Combinatorial --- Designs and configurations, Combinatorial --- Combinatorial analysis --- Geometries, Finite --- Combinatorial geometry

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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.

Geometry --- Combinatorial designs and configurations --- Finite geometries --- Geometries, Finite --- Combinatorial geometry --- Configurations and designs, Combinatorial --- Designs and configurations, Combinatorial --- Combinatorial analysis

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Geometry --- Finite generalized quadrangles. --- Finite geometries. --- Rings (Algebra) --- Finite generalized quadrangles --- Finite geometries --- Algebraic rings --- Ring theory --- Algebraic fields --- Geometries, Finite --- Combinatorial geometry --- Generalized quadrangles, Finite --- Quadrangles, Generalized finite

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Finite groups --- Finite geometries --- 512.54 --- Groups, Finite --- Group theory --- Modules (Algebra) --- Geometries, Finite --- Combinatorial geometry --- Groups. Group theory --- 512.54 Groups. Group theory --- Groupes finis --- Geometrie --- Geometrie finie