Combinatorial group theory : a topological approach
Author(s)
Bibliographic Information
Combinatorial group theory : a topological approach
(London Mathematical Society student texts, 14)
Cambridge University Press, 1989
- : pbk
- : hard
Available at / 61 libraries
-
Library & Science Information Center, Osaka Prefecture University
: pbkNDC6:412.8||CO2||10091570933
-
Science and Technology Library, Kyushu University
: pbkCOHE/35/2A033212017001712,
: hard068222189008253 -
Kobe University General Library / Library for Intercultural Studies
: hard410-8-L6//14S061000103927*
-
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC19:512/C662070126616
-
No Libraries matched.
- Remove all filters.
Note
Includes bibliographical references and index
Description and Table of Contents
Description
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.
Table of Contents
- 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.
by "Nielsen BookData"