Hi,

I've been playing with Cayley graphs in Sage (thanks to whoever
implemented this!) I got funny results on one example, and I'd like to
understand.

I've tried SL(2, ZZ):

sage: G= SL(2, ZZ)
sage: S, T= G.gens(); ST= S*T
sage: L= [S^i*ST^j for i in range(4) for j in range(3)] #S has order
4, ST has order 3
sage: els= Set([ a*b*c*d for a in L for b in L for c in L for d in L])
sage: gr= G.cayley_graph(generators = [S, ST], elements= els)
sage: gr.show(color_by_label= True, iterations= 500, vertex_labels=
False, vertex_size= 1,  dpi= 800)) #for example

I don't know how to attach a picture to this message, so I'll have to
describe the result as very close to the Cayley graph of PSL(2, ZZ)
rather than SL(2, ZZ)!! it looks as if one of my generators has order
2!!

does anyone know what is going on?

thanks!
Pierre

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