{"product_id":"groups-acting-on-graphs-paperback-9780521180009","title":"Groups Acting on Graphs (Paperback) 9780521180009","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eGroups Acting on Graphs\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis 1989 monograph investigates groups acting on low-dimensional topological spaces, and for the most part the viewpoint is algebraic.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eWarren Dicks (Author), M. J. Dunwoody (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521180009, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 14 April 2011\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e306 pages\u003cbr\u003e22.9 x 15.2 x 1.7 cm, 0.45 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\"\u003eOriginally published in 1989, this is an advanced text and research monograph on groups acting on low-dimensional topological spaces, and for the most part the viewpoint is algebraic. Much of the book occurs at the one-dimensional level, where the topology becomes graph theory. Two-dimensional topics include the characterization of Poincare duality groups and accessibility of almost finitely presented groups. The main three-dimensional topics are the equivariant loop and sphere theorems. The prerequisites grow as the book progresses up the dimensions. A familiarity with group theory is sufficient background for at least the first third of the book, while the later chapters occasionally state without proof and then apply various facts which require knowledge of homological algebra and algebraic topology. This book is essential reading for anyone contemplating working in the subject.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e Conventions\u003cbr\u003e 1. Groups and graphs\u003cbr\u003e 2. Cutting graphs and building trees\u003cbr\u003e 3. The almost stability theorem\u003cbr\u003e 4. Applications of the almost stability theorem\u003cbr\u003e 5. Poincaré duality\u003cbr\u003e 6. Two-dimensional complexes and three-dimensional manifolds\u003cbr\u003e Bibliography and author index\u003cbr\u003e Symbol index\u003cbr\u003e Subject index.\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":46006016934168,"sku":"9780521180009","price":39.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521180009i_54d5a04e-8453-4f93-8168-438f5d0211d4.jpg?v=1691373247","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/groups-acting-on-graphs-paperback-9780521180009","provider":"Freshly Printed Books","version":"1.0","type":"link"}