Thread: degree of E over F

prove: if (E:F)=P with p is a prime, then E=F(a) for each a is an element of E-F.

Originally Posted by apple2009

prove: if (E:F)=P with p is a prime, then E=F(a) for each a is an element of E-F.

[F(a):F] should divide [E:F]. Then it easily follows that E=F(a).