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Oligomorphic Permutation Groups

by Peter J. Cameron

2020-11-21 02:55:32

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The study of permutation groups has always been closely associated with that of highly symmetric structures. The objects considered here are countably infinite, but have only finitely many different substructures of any given finite size. They are pr... Read more
The study of permutation groups has always been closely associated with that of highly symmetric structures. The objects considered here are countably infinite, but have only finitely many different substructures of any given finite size. They are precisely those structures which are determined by first-order logical axioms together with the assumption of countability. This book concerns such structures, their substructures and their automorphism groups. A wide range of techniques are used: group theory, combinatorics, Baire category and measure among them. The book arose from lectures given at a research symposium and retains their informal style, whilst including as well many recent results from a variety of sources. It concludes with exercises and unsolved research problems. Less

Book Details

File size9.02 X 5.98 X 0.51 in
Print pages232
PublisherCambridge University Press
Publication date June 29, 1990
Languageeng
ISBN9780511892493
autor-image
Peter J. Cameron
Author
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