%0 Journal Article
%T Symmetries of Spatial Graphs and Rational Twists along Spheres and Tori
%A Toru Ikeda
%J Symmetry
%D 2012
%I MDPI AG
%R 10.3390/sym4010026
%X A symmetry group of a spatial graph ¦£ in S3 is a finite group consisting of orientation-preserving self-diffeomorphisms of S3 which leave ¦£ setwise invariant. In this paper, we show that in many cases symmetry groups of ¦£ which agree on a regular neighborhood of ¦£ are equivalent up to conjugate by rational twists along incompressible spheres and tori in the exterior of ¦£.
%K 3-manifold
%K geometric topology
%K symmetry
%K finite group action
%K spatial graph
%K rational twist
%U http://www.mdpi.com/2073-8994/4/1/26