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

By Daniel E. Cohen

during this booklet, built from classes taught on the college of London, the writer goals to teach the price of utilizing topological tools in combinatorial crew idea. The topological fabric is given when it comes to the basic groupoid, giving effects and proofs which are either better and less complicated than the conventional ones. a number of chapters take care of overlaying areas and complexes, a massive process, that is then utilized to yield the key Schreier and Kurosh subgroup theorems. the writer provides an entire account of Bass-Serre thought and discusses the observe challenge, particularly, its unsolvability and the Higman Embedding Theorem. integrated for completeness are the proper result of computability theory.

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Combinatorial Group Theory: A Topological Approach (London Mathematical Society Student Texts) by Daniel E. Cohen

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