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  1. Home
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  3. Combinatorial Group Theory
  • Cited by 65
Publisher:
Cambridge University Press
Online publication date:
January 2010
Print publication year:
1989
Online ISBN:
9780511565878
DOI:
https://doi.org/10.1017/CBO9780511565878
Subjects:
Mathematics (general), Mathematics, Discrete Mathematics Information Theory and Coding, Algebra
Series:
London Mathematical Society Student Texts (14)
Information

Book 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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