#8549: Add a cycle enumerator polynomial for Permutation Group
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Reporter: nborie | Owner: nborie
Type: enhancement | Status: new
Priority: major | Milestone: sage-4.3.4
Component: combinatorics | Keywords: permutation, cycle, enumeration
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Description changed by nborie:
Old description:
> Let G a permutation group. Each permutation of G has a cycle type. The
> goal of this ticket is to add a method for permutation group which return
> a dictionary associating for each cycle pattern, the number of
> permutation in G having this pattern.
New description:
Let G a permutation group. Each permutation of G has a cycle type. The
goal of this ticket is to add a method for permutation group which returns
a symmetric function in the monomial symmetric functions whose terms are
the numbers of permutation in G having the cycle type (Partition) indexing
the corresponding monomial.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8549#comment:1>
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