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  • Book
  • © 1995

Translation Planes

Foundations and Construction Principles

Authors:

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

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-vi
  2. Introduction

    • Norbert Knarr
    Pages 1-4
  3. Foundations

    • Norbert Knarr
    Pages 5-24
  4. Spreads of 3-dimensional projective spaces

    • Norbert Knarr
    Pages 25-39
  5. Kinematic spaces

    • Norbert Knarr
    Pages 40-47
  6. Examples and supplements

    • Norbert Knarr
    Pages 48-60
  7. Planes of Lenz type V with complex kernel

    • Norbert Knarr
    Pages 78-94
  8. Back Matter

    Pages 104-113

About this book

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

  • DOI: https://doi.org/10.1007/BFb0096310

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1995

  • Softcover ISBN: 978-3-540-60208-8Published: 18 September 1995

  • eBook ISBN: 978-3-540-44724-5Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VI, 122

  • Topics: Geometry

Buying options

eBook USD 29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions