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How to represent and calculate the product of non disjoint cycles in SageMath

asked 2023-06-05 20:17:42 +0200

Siocnarf2579 gravatar image

Ex: Permutation("(3,5)(1,2)(2,5)(1,4)")

How do you do that in Sagemath.

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answered 2023-06-06 11:52:40 +0200

slelievre gravatar image

Define the permutation for each cycle, and multiply them.

Of course the result depends on the order in which you multiply.

Example:

sage: prod(Permutation(c) for c in ("(3, 5)", "(1, 2)", "(2, 5)", "(1, 4)"))
[5, 4, 2, 1, 3]
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Asked: 2023-06-05 20:17:42 +0200

Seen: 77 times

Last updated: Jun 06 '23