{"product_id":"9781470466985-hyperbolic-actions-and-2nd-bounded","title":"Hyperbolic Actions and 2nd Bounded Cohomology of Subgroups of $\\textrm {Out}(F_n)$","description":"\u003cmeta content=\"text\/html; charset=utf-8\" http-equiv=\"Content-Type\"\u003e\u003cp\u003e\u003cspan\u003eIn this two part work we prove that for every finitely generated subgroup ? \u0026lt; Out(Fn), either ? is virtually abelian or H2 b (?; R) contains a vector space embedding of 1. The method uses actions on hyperbolic spaces.\u003cbr\u003eIn this two part work we prove that for every finitely generated subgroup ? \u0026lt; Out(Fn), either ? is virtually abelian or H2 b (?; R) contains a vector space embedding of 1. The method uses actions on hyperbolic spaces. In Part I we focus on the case of infinite lamination subgroups ?—those for which the set of all attracting laminations of all elements of ? is an infinite set—using actions on free splitting complexes of free groups. In Part II we focus on finite lamination subgroups ? and on the construction of useful new hyperbolic actions of those subgroups.\u003cbr\u003e\u003cbr\u003e\u003c\/span\u003e\u003c\/p\u003e","brand":"Rarewaves","offers":[{"title":"Default Title","offer_id":55128459510134,"sku":"9781470466985","price":68.75,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0092\/7504\/8033\/files\/orig_36016944_10885fc4-3be5-4259-b3ba-f56007dec023.jpg?v=1757557690","url":"https:\/\/www.rarewaves.com\/products\/9781470466985-hyperbolic-actions-and-2nd-bounded","provider":"Rarewaves.com","version":"1.0","type":"link"}