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Galois Theory

Lectures Delivered at the University of Notre Dame by Emil Artin (Notre Dame Mathematical Lectures, Number 2)

Emil Artin

Idioma

Inglés

Libro Tapa blanda

Código Libristo: 02569505

Editores Dover Publications Inc., marzo 2003

I. Linear Algebra A. Fields B. Vector Spaces C. Homogeneous Linear Equations D. Dependence a... Descripción completa

Código Libristo: 02569505

18 b

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I. Linear Algebra A. Fields B. Vector Spaces C. Homogeneous Linear Equations D. Dependence and Independence of Vectors E. Non-homogeneous Linear Equations F. Determinants II. 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 Irrationalities III. 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