Galois Theory - Lectures Delivered at the University of Notre Dame by Emil Artin Notre Dame Mathematical Lectures, Number 2
I. Linear Algebra A. Fields B. Vector Spaces C. Homogeneous Linear Equations D. Dependence and Independence of Vectors E. Non-homogeneous Linear Equations F. DeterminantsII. Field Theory A. Extension…
Specifikacia Galois Theory - Lectures Delivered at the University of Notre Dame by Emil Artin Notre Dame Mathematical Lectures, Number 2
I. Linear Algebra A. Fields B. Vector Spaces C. Homogeneous Linear Equations D. Dependence and Independence of Vectors E. Non-homogeneous Linear Equations F. DeterminantsII. Field Theory A. Extension fields B. Polynomials C. Algebraic Elements D. Splitting fields E. Unique Decomposition of Polynomials into Irreducible Factors F. Group Characters G. Applications and Examples to Theorem 13 H. Normal Extensions I. Finite Fields J. Roots of Unity K. Noether Equations L. Kimmer's Fields M. Simple Extensions N. Existence of a Normal Basis O. Theorem on natural IrrationalitiesIII. Applications. By A. N. Milgram A. Solvable Groups B. Permutation Groups C. Solution of Equations by Radicals D. The General Equation of Degree n E. Solvable Equations of Prime Degree F. Ruler and Compass Construction