ENGLISH

Oligomorphic Permutation Groups

By Peter J. Cameron

Book information

Publisher
Cambridge University Press
Year
1990
ISBN
9780521388368, 0521388368
LCC
QA171 .C257 1990
Language
english
Format
PDF
Filesize
1 MB (1442007 bytes)
Series
London Mathematical Society Lecture Note Series
Pages
168\168
Time added
2010-05-31 15:29:46

Description

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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