scientific article; zbMATH DE number 1118759

zbMath0893.12001MaRDI QIDQ4376945

Ivan Gozard

Publication date: 16 February 1998

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

fieldsnormGalois extensionsfinite fieldstracepolynomialsdiscriminantcyclotomic fieldsringsdifferential Galois theorytranscendence degreequadratic reciprocity lawalgebraic closuresplitting fieldsWedderburn theoremsolvability by radicalsfield extensionsLüroth's theoremseparable extensionsconstructive Galois theorynormal extensionstranscendence of \(e\) and \(\pi\)ruler-and-compass constructionsinfinite Galois theoryfundamental theorem of Galois theory

Mathematics Subject Classification ID

Galois theory (11R32) Algebraic field extensions (12F05) Separable extensions, Galois theory (12F10) Polynomials in general fields (irreducibility, etc.) (12E05) Finite fields (field-theoretic aspects) (12E20) Transcendental field extensions (12F20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to field theory (12-01)

Related Items (1)

Isomorphism theorems for Galois groups of splitting fields of polynomials*

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