Oligomorphic Permutation Groups
Book Details
Format
Paperback / softback
Book Series
London Mathematical Society Lecture Note Series
ISBN-10
0521388368
ISBN-13
9780521388368
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jun 29th, 1990
Print length
172 Pages
Weight
260 grams
Dimensions
22.80 x 15.10 x 1.50 cms
Product Classification:
Mathematical logic
KSh 10,450.00
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The study of permutations 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. This book discusses such structures, their substructures and their automorphism groups using a wide range of techniques.
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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