Construction of \(2^mS_n\)-fields containing a \(C_{2^m}\)-field

DOI10.1006/jabr.1997.7232zbMath0917.12002OpenAlexW126381469MaRDI QIDQ1268096

Teresa Crespo

Publication date: 13 December 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7232

zbMATH Keywords

obstructionsolvability of the embedding problem

Mathematics Subject Classification ID

Inverse Galois theory (12F12)

Related Items (1)

On modular mod \(\ell\) Galois representations with exceptional images

Cites Work

• Unnamed Item
• Explicit construction of \(2S_ n\) Galois extensions
• The Witt invariant of the form \(\text{Tr}(x^ 2)\)
• Central extension of \(S_n\) as Galois groups of regular extensions of \(\mathbb{Q}(T)\)
• Liftings of projective 2-dimensional Galois representations and embedding problems
• Orthogonal representations of Galois groups, Stiefel-Whitney classes and Hasse-Witt invariants.
• Explicit solutions to embedding problems associated to orthogonal Galois representations.
• On Cyclic Field Extensions of Degree 8.
• Galois realization of central extensions of the symmetric group with kernel a cyclic 2-group
• $C_4$-Extensions of $S_n$ as Galois Groups.

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