Finite generalized quadrangles 2nd Edition by Stanley E Payne, Joseph Adolf Thas ISBN 3037190663 9783037190661 by Payne S.e., Thas J.a. 9783037190661, 3037190663 instant download after payment.

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Product details:

ISBN 10: 3037190663

ISBN 13: 9783037190661 

Author: Stanley E. Payne, Joseph Adolf Thas

Generalized quadrangles (GQ) were formally introduced by J. Tits in 1959 to describe geometric properties of simple groups of Lie type of rank 2. The first edition of Finite Generalized Quadrangles (FGQ) quickly became the standard reference for finite GQ. The second edition is essentially a reprint of the first edition. It is a careful rendering into LaTeX of the original, along with an appendix that brings to the attention of the reader those major new results pertaining to GQ, especially in those areas where the authors of this work have made a contribution. The first edition has been out of print for many years. The new edition makes available again this classical reference in the rapidly increasing field of finite geometries.

Table of contents:

1. Combinatorics of finite generalized quadrangles

2. Subquadrangles

3. The known generalized quadrangles and their properties

4. Generalized quadrangles in finite projective spaces

5. Combinatorial characterizations of the known generalized quadrangles

6. Generalized quadrangles with small parameters

7. Generalized quadrangles in finite affine spaces

8. Elation generalized quadrangles and translation generalized

9. Moufang conditions

10. Generalized quadrangles as group coset geometries

11. Coordinatization of generalized quadrangles with s t

12. Generalized quadrangles as amalgamations of desarguesian planes

13. Generalizations and related topics

14. Bibliography

15. Appendix Development of the theory of GQ since 1983

16. Index

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Tags: Stanley E Payne, Joseph Adolf Thas, Finite, Generalized, Quadrangles