Translation Planes

Foundations and Construction Principles

  • Authors
  • NorbertĀ Knarr

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

  • DOI https://doi.org/10.1007/BFb0096310
  • Copyright Information Springer-Verlag Berlin Heidelberg 1995
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-60208-8
  • Online ISBN 978-3-540-44724-5
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book