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Definition Call a number eld super-constructible if there is a tower of eld extensions, =0 1 =,...

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Advance Math

Definition Call a number eld super-constructible if there is atower of eld extensions,

=0 1 =, where[+1 ]=1,2,or3.

1) Give an example of a eld that is not super-constructible.Prove that your example is correct.

2) Give an example of a super-constructible eld that is not aconstructible number eld. Prove that your answer is correct.

Answer & Explanation Solved by verified expert
4.1 Ratings (863 Votes)
a Let be the splitting field of We know thatandThusand its only subgroups areBy fundamental theorem of Galois theory the    See Answer
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