#9949: Add major index (polynomial) for the symmetric group
-----------------------------+----------------------------------------------
Reporter: nborie | Owner: nborie
Type: enhancement | Status: needs_info
Priority: major | Milestone:
Component: combinatorics | Keywords: major, index, generating,
polynomial, permutation
Author: Nicolas Borie | Upstream: N/A
Reviewer: Mike Hansen | Merged:
Work_issues: |
-----------------------------+----------------------------------------------
Description changed by nborie:
Old description:
> In the spirit of factorization of the code, add a method major_index for
> parents/elements inheriting from FinitePrmutationGoups()
>
> {{{
> sage: DihedralGroup(5).major_index()
> q^10 + q^9 + q^8 + q^7 + q^6 + q^4 + q^3 + q^2 + q + 1
> sage: PermutationGroup([[(1,2,3,4,5)]]).major_index()
> q^4 + q^3 + q^2 + q + 1
> sage: SymmetricGroup(3).major_index()
> q^3 + 2*q^2 + 2*q + 1
> sage: TransitiveGroup(5,3).major_index()
> q^10 + q^9 + 2*q^8 + 2*q^7 + 3*q^6 + 2*q^5 + 3*q^4 + 2*q^3 + 2*q^2 + q +
> 1
> }}}
New description:
In permgroup_named.py, add a method major_index for the SymmetricGroup(n)
--
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9949#comment:4>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To post to this group, send email to [email protected].
To unsubscribe from this group, send email to
[email protected].
For more options, visit this group at
http://groups.google.com/group/sage-trac?hl=en.
