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arxiv: 0907.5312 · v1 · submitted 2009-07-30 · 🧮 math.CO

Toroidal Embeddings of Right Groups

classification 🧮 math.CO
keywords rightgroupscayleyembeddingsgeneratinggroupsystemtoroidal
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In this note we study embeddings of Cayley graphs of right groups on surfaces. We characterize those right groups which have a toroidal but no planar Cayley graph, such that the generating system of the right group has a minimal generating system of the group as a factor.

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