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TOPOLOGICAL SYMMETRY GROUPS OF COMPLETE GRAPHS IN THE 3-SPHERE

Published online by Cambridge University Press:  22 February 2006

ERICA FLAPAN ,
RAMIN NAIMI  and
HARRY TAMVAKIS
ERICA FLAPAN
Affiliation:
Department of Mathematics, Pomona College, Claremont, CA 91711, USAeflapan@pomona.edu
RAMIN NAIMI
Affiliation:
Department of Mathematics, Occidental College, Los Angeles, CA 90041, USArnaimi@oxy.edu
HARRY TAMVAKIS
Affiliation:
Department of Mathematics, Brandeis University, MS 050, PO Box 9110, Waltham, MA 02454-9110, USAharryt@brandeis.edu
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Abstract

The orientation preserving topological symmetry group of a graph embedded in the 3-sphere is the subgroup of the automorphism group of the graph consisting of those automorphisms which can be induced by an orientation preserving homeomorphism of the ambient space. We characterize all possible orientation preserving topological symmetry groups of embeddings of complete graphs in the 3-sphere.

Keywords

57M15 (primary)05C1005C25 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 73 , Issue 1 , February 2006 , pp. 237 - 251
Copyright
The London Mathematical Society 2006

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