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Combinatorial Group Theory: A Topological Approach

Combinatorial Group Theory: A Topological Approach

Paperback

Series: London Mathematical Society Student Texts, Book 14

AlgebraGeneral MathematicsGeneral Science

ISBN10: 0521349362
ISBN13: 9780521349369
Publisher: Cambridge University Press
Published: Aug 17 1989
Pages: 324
Weight: 0.90
Height: 0.68 Width: 5.92 Depth: 8.86
Language: English
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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General Mathematics