Topological symmetry groups and mapping class groups for spatial graphs

Sangbum Cho; Yuya Koda

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Topological symmetry groups and mapping class groups for spatial graphs

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arxiv 1111.2668 v2 pith:VA4XSBLC submitted 2011-11-11 math.GT

Sangbum Cho , Yuya Koda This is my paper · ORCID

classification math.GT

keywords classembeddedgraphgroupgroupsmappingsymmetrytopological

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We give a necessary and sufficient condition for the mapping class group of the pair of the 3-sphere and a graph embedded in it to be isomorphic to the topological symmetry group of the embedded graph.

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