{"product_id":"geometric-group-theory-9781470411046","title":"Geometric Group Theory","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eFilling a big gap in the literature, this book contains proofs of several fundamental results of geometric group theory, such as Gromov's theorem on groups of polynomial growth, Tits's alternative, Stallings's theorem on ends of groups, Dunwoody's accessibility theorem, the Mostow Rigidity Theorem, and quasiisometric rigidity theorems of Tukia and Schwartz.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003eGeometry and topology\u003c\/li\u003e\n\u003cli\u003eMetric spaces\u003c\/li\u003e\n\u003cli\u003eDifferential geometry\u003c\/li\u003e\n\u003cli\u003eHyperbolic space\u003c\/li\u003e\n\u003cli\u003eGroups and their actions\u003c\/li\u003e\n\u003cli\u003eMedian spaces and spaces with measured walls\u003c\/li\u003e\n\u003cli\u003eFinitely generated and finitely presented groups\u003c\/li\u003e\n\u003cli\u003eCoarse geometry\u003c\/li\u003e\n\u003cli\u003eCoarse topology\u003c\/li\u003e\n\u003cli\u003eUltralimits of metric spaces\u003c\/li\u003e\n\u003cli\u003eGromov-hyperbolic spaces and groups\u003c\/li\u003e\n\u003cli\u003eLattices in Lie groups\u003c\/li\u003e\n\u003cli\u003eSolvable groups\u003c\/li\u003e\n\u003cli\u003eGeometric aspects of solvable groups\u003c\/li\u003e\n\u003cli\u003eThe Tits alternative\u003c\/li\u003e\n\u003cli\u003eGromov's theorem\u003c\/li\u003e\n\u003cli\u003eThe Banach-Tarski paradox\u003c\/li\u003e\n\u003cli\u003eAmenability and paradoxical decomposition\u003c\/li\u003e\n\u003cli\u003eUltralimits, fixed point properties, proper actions\u003c\/li\u003e\n\u003cli\u003eStallings's theorem and accessibility\u003c\/li\u003e\n\u003cli\u003eProof of Stallings's theorem using harmonic functions\u003c\/li\u003e\n\u003cli\u003eQuasiconformal mappings\u003c\/li\u003e\n\u003cli\u003eGroups quasiisometric to $\\mathbb{H}^n$\u003c\/li\u003e\n\u003cli\u003eQuasiisometries of nonuniform lattices in $\\mathbb{H}^n$\u003c\/li\u003e\n\u003cli\u003eA survey of quasiisometric rigidity\u003c\/li\u003e\n\u003cli\u003eAppendix: Three theorems on linear groups\u003c\/li\u003e\n\u003cli\u003eBibliography\u003c\/li\u003e\n\u003cli\u003eIndex\u003c\/li\u003e\n\u003cli\u003e\u003cul\u003e\u003c\/ul\u003e\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":50041325289815,"sku":"9781470411046","price":83.6,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781470411046.jpg?v=1740182405","url":"https:\/\/bookcurl.com\/products\/geometric-group-theory-9781470411046","provider":"Book Curl","version":"1.0","type":"link"}