Abstract
This chapter discusses the Cayley graphs of the groups F3, 2, -l, F4, 2, 1 and the extended LCF notation. The groups F3,2,-1 and F4,2,1 have 0-symmetric Cayley graphs with fewer than 120 vertices. The group F3, 2, -1 of the order 72 yield only a 64-gon in the Cayley graph, but this 64-gon can be used for a diagram of the graph. For the concise description of the Cayley graph, which is easily seen to be 0-symmetric and of girth 8 but not bipartite, the extended LCF notation might be used. The chapter presents the 64-gon as if it were a Hamiltonian circuit and presents the computation of chord lengths.
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