{"product_id":"the-structure-of-groups-with-a-quasiconvex-hierarchy-9780691170459","title":"The Structure of Groups with a Quasiconvex Hierarchy","description":"\u003cp\u003eThis monograph on the applications of cube complexes constitutes a breakthrough in the fields of geometric group theory and 3-manifold topology. Many fundamental new ideas and methodologies are presented here for the first time, including a cubical small-cancellation theory that generalizes ideas from the 1960s, a version of Dehn Filling that functions in the category of special cube complexes, and a variety of results about right-angled Artin groups. The book culminates by establishing a remarkable theorem about the nature of hyperbolic groups that are constructible as amalgams.\u003cbr\u003e\u003cbr\u003eThe applications described here include the virtual fibering of cusped hyperbolic 3-manifolds and the resolution of Baumslag's conjecture on the residual finiteness of one-relator groups with torsion. Most importantly, this work establishes a cubical program for resolving Thurston's conjectures on hyperbolic 3-manifolds, and validates this program in significant cases. Illustrated with more than 150 color figures, this book will interest graduate students and researchers working in geometry, algebra, and topology.\u003c\/p\u003e","brand":"Daniel T. Wise","offers":[{"title":"Default Title","offer_id":42981638799478,"sku":"9780691170459","price":87.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0671\/1374\/6550\/files\/CoreSourceHub_573531c5-3c73-418f-8f3b-4f0de0e1b02f.jpg?v=1772314110","url":"https:\/\/ingramacademic.com\/products\/the-structure-of-groups-with-a-quasiconvex-hierarchy-9780691170459","provider":"Ingram Academic \u0026 Professional","version":"1.0","type":"link"}