Topological symmetry groups of graphs embedded in the 3-sphere
refreshments at 3:45pm
The topological symmetry group of a finite, connected graph
embedded in S^3 is the subgroup of the automorphism group of the graph
consisting of those automorphisms which can be induced by a
homeomorphism of the ambient sphere. These groups first appeared
in chemistry, as a measure of the symmetries of molecules. We initiate
the mathematical study of topological symmetry groups, and compare
with Babai and Mani's work on the automorphism groups of planar
graphs. My talk will be accessible to a general audience, and presents
joint work with Erica Flapan, Ramin Naimi, and James Pommersheim.
Speaker's Contact Info: harryt(at-sign)brandeis.edu
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