Topological Symmetry Groups of Graphs in 3-Manifolds

Authors

Erica Flapan, Pomona CollegeFollow
Harry Tamvakis, Brandeis University

Document Type

Article

Department

Mathematics (Pomona)

Publication Date

2013

Keywords

topological symmetry group, 3-manifold

Abstract

We prove that for every closed, connected, orientable, irreducible 3-manifold there exists an alternating group A_n which is not the topological symmetry group of any graph embedded in the manifold. We also show that for every finite group G there is an embedding T of some graph in a hyperbolic rational homology 3-sphere such that the topological symmetry group of T is isomorphic to G.

Rights Information

© 2013 American Mathematical Society

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

DOI

10.1090/S0002-9939-2012-11405-4

Recommended Citation

E. Flapan, H. Tamvakis, Topological Symmetry Groups of Graphs in 3-Manifolds, Proceedings of the AMS, Vol 141, No 4, (2013) 1423–1436. doi: 10.1090/S0002-9939-2012-11405-4