ENGLISH

Finite Structures with Few Types.

By Cherlin , Gregory; Hrushovski , Ehud

Book information

Publisher
Princeton University Press
Year
2008
ISBN
9781400825462, 1400825466
Language
english
Format
PDF
Filesize
17 MB (17554073 bytes)
Series
Annals of Mathematics Studies No. 152.
Pages
200\200
Time added
2017-08-08 10:52:32

Description

This book applies model theoretic methods to the study of certain finite permutation groups, the automorphism groups of structures for a fixed finite language with a bounded number of orbits on 4-tuples. Primitive permutation groups of this type have been classified by Kantor, Liebeck, and Macpherson, using the classification of the finite simple groups. Building on this work, Gregory Cherlin and Ehud Hrushovski here treat the general case by developing analogs of the model theoretic methods of geometric stability theory. The work lies at the juncture of permutation group theory, model theory.  Read more... Contents 1. Introduction 2. Basic Notions 3. Smooth Approximability 4. Finiteness Theorems 5. Geometric Stability Generalized 6. Definable Groups 7. Reducts 8. Effectivity REFERENCES INDEX.

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