Automorphisms of First-Order Structures by Richard Kaye
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Automorphisms of First-Order Structures
By Richard Kaye

Automorphisms of First-Order Structures

By (author) See other recent books by Richard Kaye See other recent books by Dugald Macpherson
Format: Hardback

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Automorphisms of First-Order Structures by Richard Kaye

Book Description

This book is a collection of articles, some introductory, some extended surveys, and some containing previously unpublished research, on a range of topics linking infinite permutation group theory and model theory. Topics covered include: oligomorphic permutation groups and omega-categorical structures; totally categorical structures and covers; automorphism groups of recursively saturated structures; Jordan groups; Hrushovski's constructions of pseudoplanes; permutation groups of finite Morley rank; applications of permutation group theory to models of set theory without the axiom of choice. There are introductory chapters by the editors on general model theory and permutation theory, recursively saturated structures, and on groups of finite Morley rank. The book is almost self-contained, and should be useful to both a beginning postgraduate student meeting the subject for the first time, and to an active researcher from either of the two main fields looking for an overview of the subject.

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Book Details

ISBN: 9780198534686
ISBN-10: 019853468X
Format: Hardback
(241mm x 161mm x 28mm)
Pages: 400
Imprint: Clarendon Press
Publisher: Oxford University Press
Publish Date: 11-Aug-1994
Country of Publication: United Kingdom

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An introduction to the developments of nonstandard models. Beginning with Godel's incompleteness theorem, it covers the prime models, cofinal extensions, and extensions, Gaifman's construction of a definable type, Tennenbaum's theorem and Friedman's theorem on indicators, ending with a chapter on recursive saturation and resplendency.

» View all books by Richard Kaye

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