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

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

2011-06-23

arxiv.org/abs/1106.4637v1

Mathematics

Group Theory

8 pages

Scientific paper

Let $\pi:\aut(F_n)\rightarrow \aut(\Z^n)$ be the epimorphism induced by the
isomorphism $\Z^n \cong F_n/F_n'$ 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.

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