Geometry, Combinatorial Designs and Related Structures

doi:10.1017/CBO9780511526114

Last updated 20/06/24: Online ordering is currently unavailable due to technical issues. We apologise for any delays responding to customers while we resolve this. For further updates please visit our website: https://www.cambridge.org/news-and-insights/technical-incident

Skip to main content Accessibility help

Home
Books
Geometry, Combinatorial Designs and Related Structures

Geometry, Combinatorial Designs and Related Structures

- Get access
  
  Buy a print copy
  
  Check if you have access via personal or institutional login
  
  Log in Register

Edited by J. W. P. Hirschfeld, University of Sussex, S. S. Magliveras, University of Nebraska, Lincoln, M. J. de Resmini, Università degli Studi di Roma 'La Sapienza', Italy

Publisher:: Cambridge University Press
Online publication date:: November 2009
Print publication year:: 1997
Online ISBN:: 9780511526114
DOI:: https://doi.org/10.1017/CBO9780511526114

Subjects:: Mathematics (general), Mathematics, Discrete Mathematics Information Theory and Coding, Geometry and Topology
Series:: London Mathematical Society Lecture Note Series (245)

Information

Contents

Metrics

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.

- Aa Reduce text
- Aa Enlarge text

View selected items
Save to my bookmarks
Export citations
Download PDF (zip)
Save to Kindle
Save to Dropbox
Save to Google Drive
Save content to
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to .

To save content items to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Please be advised that item(s) you selected are not available.
You are about to save
Your Kindle email address

Please provide your Kindle email.

@free.kindle.com @kindle.com (service fees apply)

By using this service, you agree that you will only keep content for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services

Metrics

Altmetric attention score

Total number of HTML views: 0

Total number of PDF views: 0 *

Loading metrics...

Total views: 0 *

Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.

Geometry, Combinatorial Designs and Related Structures

Book description

Refine List

Actions for selected content:

Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Preface
pp vii-viii

Introduction
pp 1-6

On maximum size anti-Pasch sets of triples
pp 7-14

Some simple 7–designs
pp 15-26

Inscribed bundles, Veronese surfaces and caps
pp 27-32

Embedding partial geometries in Steiner designs
pp 33-42

Finite geometry after Aschbacher's Theorem: PGL(n, q) from a Kleinian viewpoint
pp 43-62

The Hermitian function field arising from a cyclic arc in a Galois plane
pp 63-68

Intercalates everywhere
pp 69-88

Difference sets: an update
pp 89-112

Computational results for the known biplanes of order 9
pp 113-122

A survey of small embeddings for partial cycle systems
pp 123-148

Rosa triple systems
pp 149-160

Searching for spreads and packings
pp 161-176

A note on Buekenhout-Metz unitals
pp 177-180

Elation generalized quadrangles of order (q2, q)
pp 181-192

Uniform parallelisms of PG(3, 3)
pp 193-200

Double-fives and partial spreads in PG(5, 2)
pp 201-216

Rank three geometries with simplicial residues
pp 217-240

Generalized quadrangles and the Axiom of Veblen
pp 241-254

Talks
pp 255-256

Participants
pp 257-258

Metrics

Altmetric attention score

Full text views

Book summary page views

Geometry, Combinatorial Designs and Related Structures

Book description

Refine List

Actions for selected content:

Save Search

Contents

Metrics

Altmetric attention score

Full text views

Book summary page views