Hi Oscar

What do we want the finite fields of non-prime order being able to do? just 
the common operations +-*/ and what else besides to has generated element? 

Do we want as a extension of the class FiniteField? 

Thanks in advance, 

Patricio
El miércoles, 31 de marzo de 2021 a las 20:26:41 UTC+2, Oscar escribió:

> Hi Patricio,
>
> Being able to compute the Galois group of a polynomial would be nice.
> I have no idea how you do that... Are there algorithms for that that
> don't require computing expressions for the roots?
>
> Another thing lacking in sympy is an implementation of finite fields
> of non-prime order. Related issues:
>
> https://github.com/sympy/sympy/issues/21104
> https://github.com/sympy/sympy/issues/9544
> https://github.com/sympy/sympy/pull/19593
>
>
> Oscar
>
> On Wed, 31 Mar 2021 at 18:02, Jason Moore <moore...@gmail.com> wrote:
> >
> > Patricio,
> >
> > Here's our starting point for new contributors: 
> https://github.com/sympy/sympy/wiki/introduction-to-contributing
> >
> > It sounds like you have in-depth knowledge so I'm sure you'll find nice 
> holes you can fill and grow.
> >
> > Jason
> > moorepants.info
> > +01 530-601-9791 <(530)%20601-9791>
> >
> >
> > On Wed, Mar 31, 2021 at 3:42 PM JOSÉ PATRICIO SÁNCHEZ HERNÁNDEZ <
> e.jpsa...@go.ugr.es> wrote:
> >>
> >> I'm Patricio. I want to participate with the main goal of Sympy. So I 
> want to collaborate to the implementation Computation of Galois groups for 
> a given polynomial or I can collaborate with something else closed to my 
> background. Then I'm here looking for ideas.
> >>
> >> I have a PhD in Mathematics, specialized in modern algebra, ring 
> theory, lattice theory and finite fields, a Bachelor’s degree in Applied 
> Mathematics, and a Master’s degree in Science. Now I’m finishing a Master 
> in Data Science. Before that, I was working as a postdoctoral researcher 
> for two years in the Department of Algebra at the University of Granada. 
> The project of the postdoctoral research was building Algebraic 
> Error-Correcting Codes. I implemented in Python the codes and the 
> algorithms that we builded. During this period I collaborated in writing 3 
> papers, in relevant journals, as Mathematische Zeitschrift, which published 
> our paper Biseparable extensions are not necessarily Frobenius, where we 
> answered a 20-Year open algebra’s problem. And most important, I wrote a 
> paper on my own, On natural sets on an idiom, which is a hard and relevant 
> task in pure maths, published in Communications in Algebra.
> >> I have been working with python for about 2 years.
> >> I have used SymPy before but I'm more familiar with sagemath.
> >>
> >> Thanks in advance,
> >>
> >> Patricio
> >>
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