Infinite-ended groups with planar Cayley graphs

Carl Droms 1 , 1
  • 1 Department of Mathematics & Statistics, James Madison University, Harrisonburg, VA 22834, U.S.A.


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

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The Journal of Group Theory is devoted to the publication of original research articles in all aspects of group theory. Articles concerning applications of group theory and articles from research areas which have a significant impact on group theory will also be considered.