Geometry, combinatorial designs and related structures : proceedings of the first Pythagorean conference / edited by J.W.P. Hirschfeld, S.S. Magliveras, M.J. de Resmini.

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Material type: Text

TextSeries: London Mathematical Society lecture note series ; 245.Publication details: Cambridge ; New York : Cambridge University Press, 1997.Description: 1 online resource (vii, 258 pages) : illustrationsContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781107362574
1107362571

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Genre/Form:

Additional physical formats: Print version:: Geometry, combinatorial designs and related structures.DDC classification:

516 22

LOC classification:

QA440 .G477 1997eb

Online resources:

Click here to access online

Contents:

"This volume contains articles based on talks given at the First Pythagorean Conference on Geometry, Combinatorial Designs and Related Structures, held on the island of Spetses in Greece from 1 to 7 June 1996." -- Pref.

Summary: 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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Includes bibliographical references.

Print version record.

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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