Near Polygons

  • Bart De Bruyn

Part of the Frontiers in Mathematics book series (FM)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Pages 1-25
  3. Pages 27-45
  4. Pages 47-56
  5. Pages 57-92
  6. Pages 93-120
  7. Pages 167-185
  8. Pages 211-224
  9. Back Matter
    Pages 247-263

About this book

Introduction

Near polygons were introduced about 25 years ago and studied intensively in the 1980s. In recent years the subject has regained interest. This monograph gives an extensive overview of the basic theory of general near polygons.

The first part of the book includes a discussion of the classes of dense near polygons, regular near polygons, and glued near polygons. Also valuations, one of the most important tools for classifying dense near polygons, are treated in detail. The second part of the book discusses the classification of dense near polygons with three points per line.

The book is self-contained and almost all theorems are accompanied with proofs. Several new results are presented. Many known results occur in a more general form and the proofs are often more streamlined than their original versions. The volume is aimed at advanced graduate students and researchers in the fields of combinatorics and finite geometry.

Keywords

Combinatorics Polygon Quadrangle Valuation classification ring theory

Authors and affiliations

  • Bart De Bruyn
    • 1
  1. 1.Department of Pure Mathematics and Computer AlgebraGhent UniversityGentBelgium

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7643-7553-9
  • Copyright Information Birkhäuser Basel 2006
  • Publisher Name Birkhäuser Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-7643-7552-2
  • Online ISBN 978-3-7643-7553-9
  • Series Print ISSN 1660-8046
  • About this book
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