Show that the Frobenius mapping : GF( pn) GF( pn), given

Chapter 22, Problem 11E

(choose chapter or problem)

Show that the Frobenius mapping ?: GF( pn) ?GF( pn), given by a ? ap, is a ring automorphism of order n (that is, ?n is the identity mapping). (This exercise is referred to in Chapter 32.)

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