Sieve methods in group theory \Rmnum{3}: $\aut(F_n)$

Abstract

Let $π:\aut(F_n)\rightarrow \aut(\Z^n)$ be the epimorphism induced by the isomorphism ${\mathbb{Z}}^n\cong F_n/F_n^{\prime }$ and define ${\mathcal{T}}_n:=\ker \pi$. We prove that the subset of ${\mathcal{T}}_n$ consists of all non-iwip and all non-hyperbolic elements is exponentially small.

8 pages

References in corpus (1)

• Sieve methods in group theory I: Powers in Linear groups