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Generalized Polygons

  • Book
  • © 1998

Overview

Authors:
  1. Hendrik Van Maldeghem

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

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  • Provides a complete introduction to generalized polygons
  • Develops the theory from scratch
  • Provides geometric proofs of algebraic results
  • Serves as an extensive source for references ?
  • Includes supplementary material: sn.pub/extras

Part of the book series: Modern Birkhäuser Classics (MBC)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xv
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  2. Basic Concepts and Results

    • Hendrik Van Maldeghem
    Pages 1-47

  3. Classical Polygons

    • Hendrik Van Maldeghem
    Pages 49-86

  4. Coordinatization and Further Examples

    • Hendrik Van Maldeghem
    Pages 87-134

  5. Homomorphisms and Automorphism Groups

    • Hendrik Van Maldeghem
    Pages 135-171

  6. The Moufang Condition

    • Hendrik Van Maldeghem
    Pages 173-238

  7. Characterizations

    • Hendrik Van Maldeghem
    Pages 239-303

  8. Ovoids, Spreads and Self-Dual Polygons

    • Hendrik Van Maldeghem
    Pages 305-359

  9. Projectivities and Projective Embeddings

    • Hendrik Van Maldeghem
    Pages 361-405

  10. Topological Polygons

    • Hendrik Van Maldeghem
    Pages 407-425

  11. Back Matter

    Pages 427-502
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Keywords

About this book

Generalized Polygons is the first book to cover, in a coherent manner, the theory of polygons from scratch. In particular, it fills elementary gaps in the literature and gives an up-to-date account of current research in this area, including most proofs, which are often unified and streamlined in comparison to the versions generally known. Generalized Polygons will be welcomed both by the student seeking an introduction to the subject as well as the researcher who will value the work as a reference. In particular, it will be of great value for specialists working in the field of generalized polygons (which are, incidentally, the rank 2 Tits-buildings) or in fields directly related to Tits-buildings, incidence geometry and finite geometry. The approach taken in the book is of geometric nature, but algebraic results are included and proven (in a geometric way!). A noteworthy feature is that the book unifies and generalizes notions, definitions and results that exist for quadrangles, hexagons, octagons - in the literature very often considered separately - to polygons. Many alternative viewpoints given in the book heighten the sense of beauty of the subject and help to provide further insight into the matter.​

Authors and Affiliations

  • , Department of Mathematics, Ghent University, Gent, Belgium

    Hendrik Van Maldeghem

About the author

Hendrik Van Maldeghem is a Professor of Mathematics at the Ghent University.

Bibliographic Information

  • Book Title: Generalized Polygons

  • Authors: Hendrik Van Maldeghem

  • Series Title: Modern Birkhäuser Classics

  • DOI: https://doi.org/10.1007/978-3-0348-0271-0

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1998

  • Softcover ISBN: 978-3-0348-0270-3Published: 05 January 2012

  • eBook ISBN: 978-3-0348-0271-0Published: 03 January 2012

  • Series ISSN: 2197-1803

  • Series E-ISSN: 2197-1811

  • Edition Number: 1

  • Number of Pages: XV, 502

  • Topics: Geometry, Algebraic Geometry

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