Fixed subgroups of automorphisms of hyperbolic 3-manifold groups

Details Fixed subgroups of automorphisms of hyperbolic 3-manifold groups Fixed subgroups of automorphisms of hyperbolic 3-manifold groups

2012-02-15

arxiv.org/abs/1202.3200v1

Mathematics

Geometric Topology

16 pages, 3 figures

Scientific paper

For fixed subgroups $Fix(\phi)$ of automorphisms $\phi$ on hyperbolic
3-manifold groups $\pi_{1}(M)$, we observed that
$\text{rk}(Fix(\phi))<2\text{rk}(\pi_{1}(M))$ and the constant 2 in the
inequality is sharp; we also classify all possible groups $Fix(\phi)$.

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