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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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Book Details

ISBN: 9780521349369
ISBN-10: 0521349362
Format: Paperback
(228mm x 152mm x 18mm)
Pages: 324
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 17-Aug-1989
Country of Publication: United Kingdom

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