Kummer extensions with few roots of unity

DOI10.1016/0022-314X(92)90131-8zbMath0767.12004MaRDI QIDQ1199989

Toma L.Albu

Publication date: 17 January 1993

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Galois theoryroots of unityalgebraic closurefinite Kummer extension

Mathematics Subject Classification ID

Algebraic field extensions (12F05) Separable extensions, Galois theory (12F10)

Related Items (7)

INFINITE FIELD EXTENSIONS WITH COGALOIS CORRESPONDENCE ⋮ Cyclic polynomials arising from the functional equation for Dickson polynomials ⋮ From Field Theoretic to Abstract Co-Galois Theory ⋮ ON RADICAL FIELD EXTENSIONS OF PRIME EXPONENT ⋮ SOME EXAMPLES IN COGALOIS THEORY WITH APPLICATIONS TO ELEMENTARY FIELD ARITHMETIC ⋮ Cogalois extensions via strongly graded fields ⋮ On the degree of repeated radical extensions

Cites Work

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• An application of Galois theory to elementary arithmetic
• On a fundamental inequality in number theory
• On the linear independence of algebraic numbers
• The Degrees of Radical Extensions

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