Combinatorial group theory : a topological approach /

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Bibliographic Details
Author / Creator:	Cohen, Daniel E.
Imprint:	Cambridge ; New York : Cambridge University Press, 1989.
Description:	1 online resource (310 pages) : illustrations
Language:	English
Series:	London Mathematical Society student texts ; 14 London Mathematical Society student texts ; 14.
Subject:	Combinatorial group theory. Topology. Combinatorial group theory. Topology. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11181545

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ISBN:	9781107361416 1107361419 9780511565878 0511565879 0521341337 9780521341332 0521349362 9780521349369
Notes:	Includes bibliographical references (pages 297-305) and index. Print version record.
Summary:	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.
Other form:	Print version: Cohen, Daniel E. Combinatorial group theory. Cambridge ; New York : Cambridge University Press, 1989 0521341337

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