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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
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