Skip to main content
SpringerLink
Log in

General Galois Geometries

  • Book
  • © 2016

Overview

Authors:
  1. J.W.P Hirschfeld

    1. Department of Mathematics, University of Sussex, Brighton, United Kingdom

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. J.A. Thas

    1. Department of Mathematics, Ghent University, Gent, Belgium

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Contains many applications to coding theory, algebraic geometry, incidence geometry, design theory, graph theory, and group theory
  • Provides detailed studies of quadrics, Hermitian varieties, Grassmann varieties, Veronese and Segre varieties
  • Unique being the only book of its kind

Part of the book series: Springer Monographs in Mathematics (SMM)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99 USD 79.99
50% discount Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.99 USD 99.99
50% discount Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 69.99 USD 129.99
46% discount Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (7 chapters)

  1. Front Matter

    Pages i-xvii
    Download chapter PDF

  2. Quadrics

    • J. W. P. Hirschfeld, J. A. Thas
    Pages 1-56

  3. Hermitian varieties

    • J. W. P. Hirschfeld, J. A. Thas
    Pages 57-97

  4. Grassmann varieties

    • J. W. P. Hirschfeld, J. A. Thas
    Pages 99-142

  5. Veronese and Segre varieties

    • J. W. P. Hirschfeld, J. A. Thas
    Pages 143-221

  6. Embedded geometries

    • J. W. P. Hirschfeld, J. A. Thas
    Pages 223-303

  7. Arcs and caps

    • J. W. P. Hirschfeld, J. A. Thas
    Pages 305-362

  8. Ovoids, spreads and m-systems of finite classical polar spaces

    • J. W. P. Hirschfeld, J. A. Thas
    Pages 363-385

  9. Back Matter

    Pages 387-409
    Download chapter PDF
Back to top

Keywords

About this book

This book is the second edition of the third and last volume of a treatise on projective spaces over a finite field, also known as Galois geometries. This volume completes the trilogy comprised of plane case (first volume) and three dimensions (second volume). 


This revised edition includes much updating and new material. It is a mostly self-contained study of classical varieties over a finite field, related incidence structures and particular point sets in finite n-dimensional projective spaces. 


General Galois Geometries is suitable for PhD students and researchers in combinatorics and geometry. The separate chapters can be used for courses at postgraduate level.

Authors and Affiliations

  • Department of Mathematics, University of Sussex, Brighton, United Kingdom

    J.W.P Hirschfeld

  • Department of Mathematics, Ghent University, Gent, Belgium

    J.A. Thas

About the authors

Both authors have been active in the field for about a half century. They have authored several books and several hundreds of papers in international journals; they have also been keynote speakers at numerous international conferences, as well as having organised such conferences. The standard works on Galois geometries and finite generalised quadrangles are due to them as authors or co-authors.

James Hirschfeld was born and brought up in Sydney, and studied at Sydney and Edinburgh. He has been at Sussex since 1966.


Joseph Thas studied at Ghent University, where he has held positions since 1966. He has been a member of the Royal Flemish Academy of Belgium for Science and the Arts since 1988.

Bibliographic Information

  • Book Title: General Galois Geometries

  • Authors: J.W.P Hirschfeld, J.A. Thas

  • Series Title: Springer Monographs in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4471-6790-7

  • Publisher: Springer London

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag London 2016

  • Hardcover ISBN: 978-1-4471-6788-4Published: 12 February 2016

  • Softcover ISBN: 978-1-4471-7391-5Published: 30 March 2018

  • eBook ISBN: 978-1-4471-6790-7Published: 03 February 2016

  • Series ISSN: 1439-7382

  • Series E-ISSN: 2196-9922

  • Edition Number: 1

  • Number of Pages: XVII, 409

  • Number of Illustrations: 4 b/w illustrations

  • Additional Information: Originally published by Clarendon Press, Oxford, 1991

  • Topics: Projective Geometry, Combinatorics, Algebraic Geometry

Publish with us

Policies and ethics

Back to top

Search

Navigation