Orders of elements in finite quotients of Kleinian groups

Details Orders of elements in finite quotients of Kleinian groups Orders of elements in finite quotients of Kleinian groups

2011-04-03

arxiv.org/abs/1104.0410v2

Mathematics

Geometric Topology

21 pp. I have largely rewritten Section 2 in order to correct the statement of Proposition 2.7. The original statement was not

Scientific paper

A positive integer $m$ will be called a {\it finitistic order} for an element $\gamma$ of a group $\Gamma$ if there exist a finite group $G$ and a homomorphism $h:\Gamma\to G$ such that $h(\gamma)$ has order $m$ in $G$. It is shown that up to conjugacy, all but finitely many elements of a given finitely generated, torsion-free Kleinian group admit a given integer $m>2$ as a finitistic order.

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