Title: Construction and classification of planar Cayley graphs,

 Authors: Carl Droms, Brigitte Servatius and Herman Servatius

Reference: Preprint
 

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Abstract:

We show how all groups with planar Cayley graphs may be constructed as a graph of groups whose vertex groups are all discrete groups of isometeries of the sphere, Euclidean plane or hyperbolic plane, and edge groups of order at most 2.

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