entering permutation as product of not necessarily disjoint cycles

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ykm
21 ●3

I was expecting to get the identity when I did the following:

sage: G = SymmetricGroup(3)
sage: G('(1,2)(1,2)')

but I get (1,2).

How to tell Sage to compute a product of not necessarily disjoint cycles?

1 Answer

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Here is one solution, suggested by the phrasing of the question itself.

Use a product of cycles, individually turning each cycle into a group element:

sage: G = SymmetricGroup(3)
sage: G('(1,2)') * G('(1,2)')
()

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Last updated: Sep 23 '21