Hyperbolic Actions and 2nd Bounded Cohomology of Subgroups of $\textrm {Out}(F_n)$ Terance D. Miethe It provides the kind of

It provides the kind of analysis that concerned Roman Catholics

Drawing on extensive archival research in the former Soviet Union and the United States

12 February 2009

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Hyperbolic Actions and 2nd Bounded Cohomology of Subgroups of $\textrm {Out}(F_n)$ Terance D. Miethe It provides the kind ofIn this two part work we prove that for every finitely generated subgroup ? < 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