Complete graphs whose topological symmetry groups are polyhedral

Authors

Eric Flapan
Blake Mellor, Loyola Marymount UniversityFollow
Ramin Naimi

Document Type

Article

Publication Date

2011

Abstract

We determine for which m the complete graph K_m has an embedding in S³ whose topological symmetry group is isomorphic to one of the polyhedral groups A₄, A₅ or S₄.

Publisher Statement

Permission has been granted by Mathematical Sciences Publishers to supply this article for educational and research purposes. More info can be found about the Algebraic & Geometric Topology at http://msp.org/agt/about/journal/about.html. © Mathematical Sciences Publishers.

Recommended Citation

Flapan, E., B. Mellor and R. Naimi, 2011: Complete graphs whose topological symmetry groups are polyhedral. Algebraic and Geometric Topology, 11, 1405-1433.