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Combinatorial group theory : a topological approach /
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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
1989.
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| Colección: | London Mathematical Society student texts ;
14. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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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| Descripción Física: | 1 online resource (310 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 297-305) and index. |
| ISBN: | 9781107361416 1107361419 9780511565878 0511565879 |