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  • Author: Carl Droms x
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Abstract

We find necessary and sufficient conditions for a finitely generated group with more than one end to have a planar Cayley graph.

Abstract

An embedding of an infinite Cayley graph in the two–sphere has either one, two, or an infinite number of essential accumulation points of vertices. We obtain a list of group presentations which includes every group possessing a Cayley graph that can be embedded in the two–sphere with two essential accumulation points of vertices.