Hi John,

On 2015-05-19, John Cremona <john.crem...@gmail.com> wrote:
> -- assuming that the generators have the same minimal polynomial of
> course!  what about the general case?

We are talking here about default conversion. I guess
K1.hom([K2.gen()]) (mapping generator to generator) is the only
reasonable default. And We can check (and probably do check already)
whether mapping generator to generator really extends to a homomorphism
of field extensions.

Best regards,
Simon


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