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Collinearity-preserving functions between Desarguesian planes

About this Title

David S. Carter and Andrew Vogt

Publication: Memoirs of the American Mathematical Society
Publication Year: 1980; Volume 27, Number 235
ISBNs: 978-0-8218-2235-7 (print); 978-1-4704-0639-4 (online)
DOI: https://doi.org/10.1090/memo/0235
MathSciNet review: 584168
MSC: Primary 51A30; Secondary 14A99

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Table of Contents

Chapters

  • I. Collinearity-preserving functions between PROJECTIVE Desarguesian planes
  • 0. Introduction
  • 1. Geometric preliminaries
  • 2. Algebraic ideas
  • 3. The characterization
  • 4. Other aspects of the reduced case
  • 5. Existence questions
  • II. Collinearity-preserving functions between AFFINE Desarguesian planes
  • 0. Introduction
  • 1. Projective and affine geometry
  • 2. The extension problem
  • 3. The characterization
  • 4. The exceptional cases
  • 5. Conclusions