let E be a finite extension of a ﬁeld F of prime characteristic p, and let...

let E be a finite extension of a ﬁeld F of prime characteristic p, and let K = F(Ep)
be the subﬁeld of E obtained from F by adjoining the pth powers of all elements of
E. Show that F(Ep) consists of all ﬁnite linear combinations of elements in Ep with
coeﬃcients in F.

Expert Solution

Colby Messinger answered 2 years ago

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