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Magazine Problem 2
Prove that a subgroup of a solvable group is solvable.
Problem 3
Prove that \(S_{4}\) is a solvable group.
Problem 9
Prove that the regular pentagon is constructible.
Problem 10
Prove that the regular hexagon is construetible.
Problem 12
Prove that it is possible to trisect \(72^{\circ}\).
Problem 14
(a) Prove that the sum of two algebraic integers is an algebraic integer. (b) Prove that the produet of two algebraic integers is an algebraic integer.
