Eine Verschärfung des Satzes von der Normalbasis. (An improvement of the normal basis theorem)
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Publication:1085209
DOI10.1016/0021-8693(86)90174-2zbMath0607.12011OpenAlexW2008204481MaRDI QIDQ1085209
Karsten Johnsen, Dieter Blessenohl
Publication date: 1986
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(86)90174-2
Galois theory (11R32) Separable extensions, Galois theory (12F10) Polynomials in general fields (irreducibility, etc.) (12E05) Polynomials over commutative rings (13B25)
Related Items (16)
On the existence of primitive completely normal bases of finite fields ⋮ Asymptotic existence results for primitive completely normal elements in extensions of Galois fields ⋮ Completely normal elements in some finite abelian extensions ⋮ Normal bases and factorization of \(x^n -1\) in finite fields ⋮ Supplement zu ``Eine Verschärfung des Satzes von der Normalbasis. (Supplement to `A stronger form of the normal basis theorem') ⋮ Stabile Teilkörer galoisscher Erweiterungen und ein Problem von C. Faith. (Stable subfields of Galois extensions and a problem of C. Faith) ⋮ A characterization of completely regular abelian extensions ⋮ Specific irreducible polynomials with linearly independent roots over finite fields ⋮ A decomposition theory for cyclotomic modules under the complete point of view ⋮ Primitive complete normal bases: existence in certain 2-power extensions and lower bounds ⋮ Polynome über endlichen Körpern mit gleichem Wurzelraum. (Polynomials over finite fields with equal root space) ⋮ Completely normal elements in iterated quadratic extensions of finite fields ⋮ Abelian extensions in which any regular element is completely regular. ⋮ Further results on the Morgan-Mullen conjecture ⋮ NORMAL BASES FOR MODULAR FUNCTION FIELDS ⋮ On completely free elements in finite fields
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