{"product_id":"combinatorial-group-theory-a-topological-approach-paperback-9780521349369","title":"Combinatorial Group Theory; A Topological Approach (Paperback) 9780521349369","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eCombinatorial Group Theory\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eA Topological Approach\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eIn this book the author aims to show the value of using topological methods in combinatorial group theory.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eDaniel E. Cohen (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521349369, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 17 August 1989\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e324 pages\u003cbr\u003e22.9 x 15.2 x 1.8 cm, 0.48 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eIn 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Combinational group theory\u003cbr\u003e 2. Spaces and their paths\u003cbr\u003e 3. Groupoids\u003cbr\u003e 4. The fundamental groupoid and the fundamental group\u003cbr\u003e 5. Complexes\u003cbr\u003e 6. Coverings of spaces and complexes\u003cbr\u003e 7. Coverings and group theory\u003cbr\u003e 8. Bass-serre theory\u003cbr\u003e 9. Decision problems\u003cbr\u003e 10. Further topics.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Groups \u0026amp; group theory [\u003ca title=\"See our other books on Groups \u0026amp; group theory\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Groups%20\u0026amp;%20group%20theory%20%5BPBG%5D%22\"\u003ePBG\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46005659402520,"sku":"9780521349369","price":49.89,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521349369i_1e85487e-ec23-4bef-9507-4a2ca4da5dba.jpg?v=1691375565","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/combinatorial-group-theory-a-topological-approach-paperback-9780521349369","provider":"Freshly Printed Books","version":"1.0","type":"link"}