TY  - BOOK
AU  - Cameron,Peter J.
TI  - Oligomorphic permutation groups
T2  - London Mathematical Society lecture note series
SN  - 9780511549809 (ebook)
AV  - QA174.2 .C257 1990
U1  - 512/.2 20
PY  - 1990///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Permutation groups
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511549809
ER  -