Question: It is easy to see that all those fields [ mathbb{F}_{p^{n}}left(alpha^{p^{i}} ight) cong mathbb{F}_{p^{ell}} ] with ( ell=operatorname{lcm}(m, n) ). It is easy to see

It is easy to see that all those fields [ mathbb{F}_{p^{n}}left(alpha^{p^{i}} ight) cong mathbb{F}_{p^{ell}} ] with ( ell=operatorname{lcm}(m, n) ).
It is easy to see that all those fields [ mathbb{F}_{p^{n}}left(alpha^{p^{i}}

It is easy to see that all those fields Fpn(pi)Fpe with =lcm(m,n)

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