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Topological Symmetry Groups of Complete Graphs in the 3-Sphere |
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| Authors: | Flapan, Erica Naimi, Ramin Tamvakis, Harry |
| Affiliation: | Department of Mathematics, Pomona College Claremont, CA 91711, USA eflapan{at}pomona.edu Department of Mathematics, Occidental College Los Angeles, CA 90041, USA rnaimi{at}oxy.edu Department of Mathematics, Brandeis University MS 050, PO Box 9110, Waltham, MA 02454-9110, USA harryt{at}brandeis.edu |
| Abstract: | The orientation preserving topological symmetry group of a graphembedded in the 3-sphere is the subgroup of the automorphismgroup of the graph consisting of those automorphisms which canbe induced by an orientation preserving homeomorphism of theambient space. We characterize all possible orientation preservingtopological symmetry groups of embeddings of complete graphsin the 3-sphere. |
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