I want to represent the Cayley graph of an abelian group (let's say $A=Z_5^2$) is a way that the element $g=a^i b^j$ is in the position $[i,j]$. I need a method .pos()such that:
A= groups.presentation.FGAbelian([n,n]);
g=A[2]
---> g = a*b*a^-1
g.pos()
---> [0,1]
How could I do that?
One possibility
sage: A = AbelianGroup([4,5])
sage: G = A.cayley_graph()
sage: pos = {g: g.list() for g in A}
sage: G.set_pos(pos)
sage: G.show()
There might be a similar solution using FGAbelian but I did not find anything as elegant.
Asked: 2016-02-04 02:30:48 +0100
Seen: 309 times
Last updated: Feb 04 '16
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