As others have said, we will leave the straight graph theory to
networkx and similar libraries. Those other things would be fitting,
though.  Take a look at what's already implemented in the
combinatorics module, the sets module, and elsewhere.

And it would be awesome to have a group theory module.  We presently
only have a Permutation class in the combinatorics module, but other
than that, we don't really have a good way to represent a group.
Obviously, to compute the Galois group of a polynomial, you need a way
to represent it, so for this idea, you would really need to implement
a group theory framework that we can build upon.

What algorithm do you use to compute the Galois group?

Aaron Meurer

On Fri, Mar 16, 2012 at 6:06 AM, Aleksandar Makelov
<[email protected]> wrote:
> Hi guys,
>
> I'm currently a freshman at Harvard College, probably concentrating in
> mathematics / mathematics and CS. I've done a lot of mathematics in
> high school (math Olympiads) and university (honors linear and
> abstract algebra, real and complex analysis) so far, and I'm
> interested in bringing mathematics and CS together.
>
> I've been dealing with sympy for a couple of weeks now and was
> wondering whether it'd be a good idea for GSoC to implement some more
> complicated combinatorial functionality (e.g. graph algorithms,
> generating functions, recurrence relations, operations on sets,...) ?
>
> Also, I'm currently working on several little functions for
> computation of the Galois group of quadratic/cubic/quartic
> polynomials; I'll probably send the code in a couple of days. Maybe
> I'll be able to develop some GSoC-like ideas in this direction
> (abstract algebra) as well.
>
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