Geometry of Nilpotent and Solvable Groups
نویسنده
چکیده
(Answer 1) By defining a Cayley graph. Let S be a finite generating set for G , such that S−1 = {s−1 | s ∈ S} = S and 1 ̸∈ S . NB From now on we always assume that generating sets of the group that we consider satisfy the above. The Cayley graph Cayley(G,S) of G with respect to the generating set S is a non-oriented graph defined as follows: • its set of vertices is G ; • every pair of elements g1, g2 ∈ G such that g1 = g2s , with s ∈ S , is joined by an edge.
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