#15914: Add the option to compute the fox derivative in a specific ring.
-----------------------+--------------------------------
Reporter: mmarco | Type: enhancement
Status: new | Priority: major
Milestone: sage-6.2 | Component: group theory
Resolution: | Report Upstream: N/A
-----------------------+--------------------------------
ADD DESCRIPTION
Giving a list of the generators of the group in some algebra, the fox
derivative can be computed in that
algebra:
{{{
sage: F=FreeGroup(3)
sage: a=F([2,1,3,-1,2])
sage: a.fox_derivative(F([1]))
B[x1] - B[x1*x0*x2*x0^-1]
sage: R.<t>=LaurentPolynomialRing(ZZ)
sage: a.fox_derivative(F([1]),[t,t,t])
-t^2 + t
sage: S.<t1,t2,t3>=LaurentPolynomialRing(ZZ)
sage: a.fox_derivative(F([1]),[t1,t2,t3])
-t2*t3 + t2
}}}
--
Ticket URL: <http://trac.sagemath.org/ticket/15914>
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 unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To post to this group, send email to [email protected].
Visit this group at http://groups.google.com/group/sage-trac.
For more options, visit https://groups.google.com/d/optout.
