On 2014-12-30, Nathann Cohen <nathann.co...@gmail.com> wrote:
> I wondered about this syntax. You can build a finite field from a
> prime number with GF(p), but if what you have is a prime power you
> should write GF(q,'x') instead.
>
> I very often need to create a lot of finite fields, but I could not
> care less about this 'x' and so I type this even though I do not need
> it. Would it make sense to you if we made this argument optional ? It
> would be 'x' by default, or anything else that you would prefer.

I don't see how this would play out nicely if you, say, define
GF(27) and then define GF(9).
Would the latter definition invalidate the former?

In GAP this is solved by having a special indexed variable Z(p^k), for 
p a prime and k a natural number. Then after defining GF(27) and 
then defining GF(9)
you can still refer to the elements of the former as a*Z(27)^i,
for a and i integers.

If something similar can be done in Sage, OK. 
Otherwise, -1.

Dima

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