Oligomorphic Permutation Groups

Oligomorphic Permutation Groups

by Peter J. Cameron
     
 

ISBN-10: 0521388368

ISBN-13: 9780521388368

Pub. Date: 12/28/2001

Publisher: Cambridge University Press

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

Overview

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.

Product Details

ISBN-13:
9780521388368
Publisher:
Cambridge University Press
Publication date:
12/28/2001
Series:
London Mathematical Society Lecture Note Series, #152
Pages:
172
Product dimensions:
5.98(w) x 8.98(h) x 0.39(d)

Related Subjects

Table of Contents

1. Introduction; 2. Preliminaries; 3. Examples and growth rates; 4. Subgroups; 5. Miscellaneous topics.

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