A group has a flat Cayley complex if and only if it has a VAP-free Cayley graph

Details A group has a flat Cayley complex if and only if it has a VAP-free Cayley graph A group has a flat Cayley complex if and only if it has a VAP-free Cayley graph

2010-11-18

arxiv.org/abs/1011.4255v2

Mathematics

Group Theory

Scientific paper

We prove that a Cayley graph can be embedded in the euclidean plane without
accumulation points of vertices if and only if it is the 1-skeleton of a Cayley
complex that can be embedded in the plane after removing some redundant
simplices.

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