**Unformatted text preview: **38 H. Normal Extensions 41 I. Finite Fields 49 J. Roots of Unity 56 K. Noether Equations 57 L. Rummer's Fields 59 M. Simple Extensions 64 N. Existence of a Normal Basis 66 O. Theorem on Natural Irrationalities 67 III APPLICATIONS By A. N. Milgram 69 A. Solvable Groups 69 B. Permutation Groups 70 C. Solution of Equations by Radicals 72 D. The General Equation of Degree n 74 E. Solvable Equations of Prime Degree 76 F. Ruler and Compass Construction 80...

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