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© 1995

Translation Planes

Foundations and Construction Principles

  • Authors
Book

Part of the Lecture Notes in Mathematics book series (LNM, volume 1611)

Table of contents

  1. Front Matter
    Pages i-vi
  2. Norbert Knarr
    Pages 1-4
  3. Norbert Knarr
    Pages 5-24
  4. Norbert Knarr
    Pages 25-39
  5. Norbert Knarr
    Pages 40-47
  6. Norbert Knarr
    Pages 48-60
  7. Norbert Knarr
    Pages 78-94
  8. Back Matter
    Pages 104-113

About this book

Introduction

The book discusses various construction principles for translation planes and spreads from a general and unifying point of view and relates them to the theory of kinematic spaces. The book is intended for people working in the field of incidence geometry and can be read by everyone who knows the basic facts about projective and affine planes.
The methods developed work especially well for topological spreads of real and complex vector spaces. In particular, a complete classification of all semifield spreads of finite dimensional complex vector spaces is obtained.

Keywords

Finite Incidence geometry Vector space classification construction field geometry kernel kinematic space translation plane

Bibliographic information

  • Book Title Translation Planes
  • Book Subtitle Foundations and Construction Principles
  • Authors Norbert Knarr
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title Lecture Notes in Mathematics
  • DOI https://doi.org/10.1007/BFb0096310
  • Copyright Information Springer-Verlag Berlin Heidelberg 1995
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-60208-8
  • eBook ISBN 978-3-540-44724-5
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages VI, 122
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Geometry
  • Buy this book on publisher's site