Oligomorphic Permutation Groups

(London Mathematical Society Lecture Note Series Book 152)

41kVhaxdeEL._SY291_BO1,204,203,200_QL40_ Author Peter J. Cameron
Isbn 9780521388368
File size 1.38MB
Year 1990
Pages 172
Language English
File format PDF
Category Mathematics

Book 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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