# Finite groups acting on 3-manifolds and cyclic branched coverings of knots

@article{Mecchia2009FiniteGA,
title={Finite groups acting on 3-manifolds and cyclic branched coverings of knots},
author={M. Mecchia},
journal={arXiv: Geometric Topology},
year={2009}
}
• M. Mecchia
• Published 2009
• Mathematics
• arXiv: Geometric Topology
We are interested in finite groups acting orientation-preservingly on 3-manifolds (arbitrary actions, ie not necessarily free actions). In particular we consider finite groups which contain an involution with nonempty connected fixed point set. This condition is satisfied by the isometry group of any hyperbolic cyclic branched covering of a strongly invertible knot as well as by the isometry group of any hyperbolic 2-fold branched covering of a knot in the 3-sphere. In the paper we give a… Expand
3 Citations
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