Generic extensions and generic polynomials

DOI10.1006/jsco.2000.0387zbMath0962.12002OpenAlexW2095532129MaRDI QIDQ5927999

Arne Ledet

Publication date: 19 March 2001

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jsco.2000.0387

zbMATH Keywords

generic extensionsgeneric polynomials

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10)

Related Items (6)

Generic Picard-Vessiot extensions for connected-by-finite groups. ⋮ Cyclic polynomials arising from the functional equation for Dickson polynomials ⋮ Generic extensions and generic polynomials for multiplicative groups ⋮ Generic polynomials with few parameters ⋮ Generic extensions and generic polynomials for semidirect products ⋮ On generic polynomials

Cites Work

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• Generic polynomials
• Generic Galois extensions and problems in field theory
• Cyclic Galois extensions of commutative rings
• Separable algebras over commutative rings
• Generic Structures and Field Theory
• Generic cyclic polynomials of odd degree
• Explicit Classifications of Some 2-Extensions of a Field of Characteristic Different from 2
• Generic and explicit realization of small \(p\)-groups

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