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math.GT1997
Solvable subgroups of Out(F_n) are virtually abelian
Mladen Bestvina, Mark Feighn, Michael Handel
A companion result of the the Tits alternative for is proved: Every solvable subgroup of is finitely generated and virtually abelian.
math.GT1997
The Tits Alternative for II: A Kolchin Type Theorem
Mladen Bestvina, Mark Feighn, Michael Handel
The proof of the Tits alternative for is completed. The main tool is a Kolchin type theorem, proved in this paper. It states that a finitely generated subgroup of $Out(F…
math.GT1997
The Tits alternative for Out(F_n) I: Dynamics of exponentially-growing automorphisms
Mladen Bestvina, Mark Feighn, Michael Handel
The Tits alternative for Out(F_n) is reduced to the case where all elements in the subgroup under consideration grow polynomially.