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Technical Oligomorphic Permutation Groups

Posted on 2010-04-14




Name:Technical Oligomorphic Permutation Groups
ASIN/ISBN:0521388368
Publish Date:1990
Pages:172 pages
File size:1.2 Mb
Publish Date: 1990
ISBN: 0521388368
Pages: 172 pages
File Type: PDF
File Size: 1,2 MB
Other Info: Cambridge University Press
   Technical Oligomorphic Permutation Groups

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Peter J. Cameron, "Oligomorphic Permutation Groups"

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.

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