Answered: Suppose that L and K are subfields of…

Suppose that L and K are subfields of GF(pn). If L has ps elements and K has pt elements, how many elements does L ⋂ K have?

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.2: Properties Of Group Elements

Problem 31E: 31. Prove statement of Theorem : for all integers and .

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Question

Suppose that L and K are subfields of GF(pⁿ). If L has p^s elements and K has p^t elements, how many elements does L ⋂ K have?

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