Combinatorial Group Theory: A Topological Approach - Brossura

Cohen, Daniel E.

Brossura

ISBN 10: 0521349362 ISBN 13: 9780521349369

Casa editrice: Cambridge University Press, 2009

Riassunto

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.

Su questo libro

Descrizione del libro:

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.

Contenuti:

1. Combinational group theory; 2. Spaces and their paths; 3. Groupoids; 4. The fundamental groupoid and the fundamental group; 5. Complexes; 6. Coverings of spaces and complexes; 7. Coverings and group theory; 8. Bass-serre theory; 9. Decision problems; 10. Further topics.

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2009
• ISBN 10: 0521349362
• ISBN 13: 9780521349369
• Rilegatura: Copertina flessibile
• Numero di pagine: 324