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entering permutation as product of not necessarily disjoint cycles

asked 2021-09-21 18:39:30 +0200

ykm gravatar image

updated 2021-09-23 15:00:48 +0200

slelievre gravatar image

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?

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answered 2021-09-21 18:46:14 +0200

slelievre gravatar image

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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Asked: 2021-09-21 18:39:30 +0200

Seen: 64 times

Last updated: Sep 23