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.
Reviews & endorsements
' … a very attractive textbook for any student interested in discrete mathematics.' International Mathematical News
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: July 1990
- format: Paperback
- isbn: 9780521388368
- length: 172 pages
- dimensions: 228 x 152 x 13 mm
- weight: 0.29kg
- availability: Available
Table of Contents
3. Examples and growth rates
5. Miscellaneous topics.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email firstname.lastname@example.orgRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×
Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.×