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Why is it true that any solvable quintic polynomial in has a Galois group that is a subgroup on the Frobenius group of order 20?

Thanks in advance.

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    Incidentally, Galois' proo$f$ was to show that the Galois group o$f$ a solvable irreducible polynomial of prime degree is affine, and that an affine group is solvable.2012-01-15

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