Hello Simon,

> One can of course try the following rule for constructing C: If the
> minimal polynomial used in the construction of GF(8,'x') is obtained
> from the minimal polynomial used in the construction of GF(8,'y') by
> substitution y->x, then the map extends to an isomorphism that shall
> belong to C. If the minimal polynomials are not mapped in that way, then
> *no* isomorphism between the two fields should belong to C.

This makes a lot of sense to me. It would make a "Field with a
distinguished generator" independent of the string used to represent the
generator.

Nathann

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