Combinatorial Group Theory: A Topological Approach (London by Daniel E. Cohen

By Daniel E. Cohen

during this ebook, built from classes taught on the college of London, the writer goals to teach the price of utilizing topological equipment in combinatorial workforce idea. The topological fabric is given by way of the basic groupoid, giving effects and proofs which are either more advantageous and easier than the normal ones. numerous chapters care for overlaying areas and complexes, an enormous technique, that is then utilized to yield the foremost Schreier and Kurosh subgroup theorems. the writer provides an entire account of Bass-Serre thought and discusses the be aware challenge, particularly, its unsolvability and the Higman Embedding Theorem. integrated for completeness are the suitable result of computability theory.

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