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Get vector from abelian group

asked 2016-02-04 02:30:48 +0200

MLainz gravatar image

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*b*a^-1


 ---> [0,1]

How could I do that?

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answered 2016-02-04 02:41:46 +0200

vdelecroix gravatar image

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)

There might be a similar solution using FGAbelian but I did not find anything as elegant.

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Asked: 2016-02-04 02:30:48 +0200

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Last updated: Feb 04 '16