ENGLISH

Combinatorial Group Theory: A Topological Approach

By Daniel E. Cohen

Book information

Publisher
Cambridge University Press
Year
1989
ISBN
0521349362, 9780521349369
Language
english
Format
PDF
Filesize
21 MB (22207274 bytes)
Series
London Mathematical Society Student Texts
Pages
324\315
Time added
2012-09-15 18:58:13

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.

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