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.
General
| Imprint: |
Cambridge UniversityPress
|
| Country of origin: |
United Kingdom |
| Series: |
London Mathematical Society Student Texts |
| Release date: |
August 1989 |
| First published: |
1989 |
| Authors: |
Daniel E. Cohen
|
| Dimensions: |
229 x 152 x 18mm (L x W x T) |
| Format: |
Paperback - Trade
|
| Pages: |
324 |
| Edition: |
Illustrated Ed |
| ISBN-13: |
978-0-521-34936-9 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
Groups & group theory
|
| LSN: |
0-521-34936-2 |
| Barcode: |
9780521349369 |
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