In this book, developed from courses taught at the University of London, the author aims to show the value of using topological methods in combinatorial group theory. The topological material is given in terms of the fundamental groupoid, giving results and proofs that are both stronger and simpler than the traditional ones. Several chapters deal with covering spaces and complexes, an important method, which is then applied to yield the major Schreier and Kurosh subgroup theorems. The author presents a full account of Bass-Serre theory and discusses the word problem, in particular, its unsolvability and the Higman Embedding Theorem. Included for completeness are the relevant results of computability theory.
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: August 1989
- format: Paperback
- isbn: 9780521349369
- length: 324 pages
- dimensions: 229 x 152 x 18 mm
- weight: 0.48kg
- availability: Available
Table of Contents
1. Combinational group theory
2. Spaces and their paths
4. The fundamental groupoid and the fundamental group
6. Coverings of spaces and complexes
7. Coverings and group theory
8. Bass-serre theory
9. Decision problems
10. Further topics.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email email@example.comRegister 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.×