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Combinatorial Group Theory : A Topological Approach - Daniel E. Cohen

Combinatorial Group Theory

A Topological Approach

Paperback

Published: 16th October 1989
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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.

Combinational group theory
Spaces and their paths
Groupoids
The fundamental groupoid and the fundamental group
Complexes
Coverings of spaces and complexes
Coverings and group theory
Bass-serre theory
Decision problems
Further topics
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521349369
ISBN-10: 0521349362
Series: London Mathematical Society Student Texts
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 324
Published: 16th October 1989
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.8
Weight (kg): 0.48