%0 Journal Article
%T Planar graphs and covers
%A M. J. Dunwoody
%J Mathematics
%D 2007
%I arXiv
%X Planar locally finite graphs which are almost vertex transitive are discussed. If the graph is 3-connected and has at most one end then the group of automorphisms is a planar discontinuous group and its structure is well-known. A general result is obtained for such graphs where no restriction is put on the number of ends. It is shown that such a graph can be built up from one ended or finite planar graphs in a precise way. The results give a classification of the finitely generated groups with planar Cayley graphs.
%U http://arxiv.org/abs/0708.0920v2