Oligomorphic permutation groups / Peter J. Cameron.

Format:

Book

Author/Creator:

Cameron, Peter J. (Peter Jephson), 1947-

Series:

London Mathematical Society lecture note series ; 152.

London Mathematical Society lecture note series ; 152

Language:

English

Subjects (All):

Permutation groups.

Physical Description:

viii, 160 pages : illustrations ; 23 cm.

Place of Publication:

Cambridge ; New York : Cambridge University Press, 1990.

Summary:

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.

Notes:

Based on lectures given at a LMS Durham symposium on model theory and groups, summer 1988.

Includes bibliographical references and index.

ISBN:

0521388368

OCLC:

22158351