Galois theory

DOI10.1007/0-387-28917-8zbMath1195.12001OpenAlexW4234088776MaRDI QIDQ5900395

Steven H. Weintraub

Publication date: 30 October 2008

Published in: Universitext (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/0-387-28917-8

zbMATH Keywords

Galois groupfinite fieldsGalois theorysymmetric functionscyclotomic fieldstranscendence degreeGalois correspondencefield extensionssolvable polynomialsLüroth's theorem

Mathematics Subject Classification ID

Galois theory (11R32) Separable extensions, Galois theory (12F10) Quadratic extensions (11R11) Equations in general fields (12E12) Finite fields (field-theoretic aspects) (12E20) Transcendental field extensions (12F20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to field theory (12-01)

Related Items (14)

Numerical irreducible decomposition over a number field ⋮ Quadratic extensions ⋮ On the summability of bivariate rational functions ⋮ Non primitive roots with a prescribed residue pattern ⋮ Observations on primitive, normal, and subnormal elements of field extensions ⋮ Lens spaces which are realizable as closures of homology cobordisms over planar surfaces ⋮ Explicit Galois realizations of certain families of \(2\)-groups ⋮ On the existence of telescopers for rational functions in three variables ⋮ An irreducibility test for polynomials whose coefficients are algebraic integers ⋮ Some algebraic properties of polynomial rings ⋮ The fields of values of characters of degree not divisible byp ⋮ Fields of values of odd-degree irreducible characters ⋮ Automorphism groups of simply reducible groups ⋮ Fractal mathematical over extended finite fields Fp[x/(f(x))]

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