Now what really happens to the elements of F_2^58\F_2^29 (ie exclude the ones in F_2^29)? Do they go to F_2^29 or do they remain in F_2^58\F_2^29?
Thanks,
Isaiah.
I am trying to figure out the effect of a field automorphism on a field with a non prime subfield.
Say for example F_{2^{29}}, F_{2^{58}} and F_{2^{116}}
Let \alpha \in F_{2^{58}}\F_{2^{29}}
Under {\sigma}^{i}, 1 \le i \le 58 do we get any case where \alpha becomes an element of...