[sage-devel] Re: Finite Field Isomorphisms

2007-06-26 Thread Martin Albrecht
> David Roe and I started looking into this at SD3. What David Harvey > said in his reply is right -- there's no way to choose a canonical > map in the mathematical sense, but you can make a "default" choice. I > know David Roe has thought more about this, especially wrt the coerce > conversations

[sage-devel] Re: Finite Field Isomorphisms

2007-06-26 Thread Craig Citro
> * How to pick a canonical isomorphism? My idea is to pick the roots > that > define phi and phi^(-1) (r1, r2) treat them as polynomials over > GF(q).base_ring() and choose the canonical isomorphism where the > product > r1*r2 is minimal. Does this make sense? > > * From there it should be ea

[sage-devel] Re: Finite Field Isomorphisms

2007-06-26 Thread David Harvey
On Jun 26, 2007, at 8:39 AM, Martin Albrecht wrote: > > Hi there, > > I have given some thought to finite extension field isomorphisms > and finite > extension field embeddings. Before you get too deeply into this, you should also discuss this with David Roe (and possibly others), who has b