Geometry, Combinatorial Designs and Related Structures
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Geometry, Combinatorial Designs and Related Structures by J. W. P. Hirschfeld
Book DescriptionThis 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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Book DetailsISBN: 9780521595384
(228mm x 152mm x 15mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 14-Aug-1997
Country of Publication: United Kingdom
Books By Author J. W. P. Hirschfeld
Algebraic Curves Over a Finite Field, Hardback (March 2008)
Presents an introduction to the theory of algebraic curves over a finite field, a subject that has applications in areas such as finite geometry, number theory, error-correcting codes, and cryptology. This book emphasizes the algebraic geometry rather than the function field approach to algebraic curves.
Surveys in Combinatorics, 2001, Paperback (July 2001)
This volume contains the invited talks from the 18th British Combinatorial Conference, held in 2001.
Projective Geometries Over Finite Fields, Hardback (January 1998)
This is a complete reworking of the out-of-print first volume of a three-volume treatise on finite projective spaces. There are numerous articles in journals, but this is the only extended work in the area. It also includes a comprehensive bibliography of more than 3000 items.
Finite Geometries and Combinatorics, Paperback (October 1993)» View all books by J. W. P. Hirschfeld
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.
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