Every finite group action on a compact 3-manifold preserves infinitely many hyperbolic spatial graphs
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Publication:2922965
DOI10.1142/S0218216514500345zbMath1302.57006MaRDI QIDQ2922965
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Publication date: 15 October 2014
Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)
General geometric structures on low-dimensional manifolds (57M50) Relations of low-dimensional topology with graph theory (57M15) Group actions on manifolds and cell complexes in low dimensions (57M60)
Related Items (3)
Hyperbolic rotations about links in 3-manifolds ⋮ Symmetries of hyperbolic spatial graphs and realization of graph symmetries ⋮ Recent developments in spatial graph theory
Cites Work
- Excellent 1-manifolds in compact 3-manifolds
- 0-efficient triangulations of 3-manifolds
- On a class of hyperbolic 3-manifolds and groups with one defining relation
- Cyclically symmetric hyperbolic spatial graphs in 3-manifolds
- Affine structures in 3-manifolds. V: The triangulation theorem and Hauptvermutung
- RIGIDLY ACHIRAL HYPERBOLIC SPATIAL GRAPHS IN 3-MANIFOLDS
- Extending finite group actions from surfaces to handlebodies
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