Explicit construction of \(2S_ n\) Galois extensions

DOI10.1016/0021-8693(90)90223-BzbMath0704.11044OpenAlexW1976467152MaRDI QIDQ916711

Teresa Crespo

Publication date: 1990

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(90)90223-b

zbMATH Keywords

Galois groupGalois extensionsymmetric groupembedding problemsalternating group

Mathematics Subject Classification ID

Galois theory (11R32) Separable extensions, Galois theory (12F10)

Related Items

Formes primitives et représentations galoisiennes de type octaédral ⋮ Explicit solutions of Galois embedding problems by means of generalized Clifford algebras ⋮ On the embedding problem for $2^+S_4$ representations ⋮ 2𝑆₄*𝑄₈-extensions in characteristic 3 ⋮ Galois representations of octahedral type and 2-coverings of elliptic curves ⋮ Construction of \(2^mS_n\)-fields containing a \(C_{2^m}\)-field ⋮ Primitive unimodular groups of degree 2 as differential Galois groups ⋮ Exceptional congruences for the coefficients of certain eta-product newforms.

Cites Work

• The Witt invariant of the form \(\text{Tr}(x^ 2)\)
• On stem extensions of \(S_ n\) as Galois group over number fields
• Erratum to: ``Explicit construction of \(\widetilde A_ n\) type fields