E be a hite field of order p". finite a. Show that the Frobenius automorphism op has order n. noltinitod I. b. Deduce from part (a) that G(E/Z,) is cyclic of order n with generator op. [Hint: Remember that |G(E/F)| = {E : F} = [E : F] for a finite separable splitting field extension E over F.]
E be a hite field of order p". finite a. Show that the Frobenius automorphism op has order n. noltinitod I. b. Deduce from part (a) that G(E/Z,) is cyclic of order n with generator op. [Hint: Remember that |G(E/F)| = {E : F} = [E : F] for a finite separable splitting field extension E over F.]
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.3: The Characteristic Of A Ring
Problem 7E
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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