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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
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.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Etat : New. In this book the author aims to show the value of using topological methods in combinatorial group theory. Series: London Mathematical Society Student Texts. Num Pages: 324 pages, black & white illustrations. BIC Classification: PBG. Category: (U) Tertiary Education (US: College). Dimension: 228 x 152 x 18. Weight in Grams: 480. . 2009. Illustrated. paperback. . . . . N° de réf. du vendeur V9780521349369
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