#20561: Return cycle type of a permutation
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Reporter: andrew.mathas | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-7.2
Component: group theory | Resolution:
Keywords: permutation, | Merged in:
cycle type | Reviewers:
Authors: Andrew Mathas | Work issues:
Report Upstream: N/A | Commit:
Branch: | c04fdff1839694b538a231c4c7a7dce25da9f2fc
u/andrew.mathas/return_cycle_type_of_a_permutation| Stopgaps:
Dependencies: |
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Changes (by {'newvalue': u'Andrew Mathas', 'oldvalue': ''}):
* status: new => needs_review
* author: => Andrew Mathas
* component: PLEASE CHANGE => group theory
* keywords: => permutation, cycle type
* commit: => c04fdff1839694b538a231c4c7a7dce25da9f2fc
* type: PLEASE CHANGE => enhancement
Old description:
New description:
Given an element of a permutation group, with a fixed embedding in a
symmetric group, return the cycle type of the permutation as a partition.
{{{#!python
sage: G=DihedralGroup(3)
sage: [g.cycle_type() for g in G]
[[1, 1, 1], [2, 1], [3], [2, 1], [3], [2, 1]]
sage: PermutationGroupElement('(1,2,3)(4,5)(6,7,8)').cycle_type()
[3, 3, 2]
sage: G=SymmetricGroup(3); G('(1,2)').cycle_type()
[2, 1]
sage: G=SymmetricGroup(4); G('(1,2)').cycle_type()
[2, 1, 1]
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/20561#comment:2>
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