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Symmetry 2012
Symmetries of Spatial Graphs and Rational Twists along Spheres and ToriDOI: 10.3390/sym4010026 Keywords: 3-manifold, geometric topology, symmetry, finite group action, spatial graph, rational twist Abstract: A symmetry group of a spatial graph Γ in S3 is a finite group consisting of orientation-preserving self-diffeomorphisms of S3 which leave Γ setwise invariant. In this paper, we show that in many cases symmetry groups of Γ which agree on a regular neighborhood of Γ are equivalent up to conjugate by rational twists along incompressible spheres and tori in the exterior of Γ.
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