Explicit solutions of Galois embedding problems by means of generalized Clifford algebras

DOI10.1006/jsco.1999.0384zbMath0965.12003OpenAlexW1997469143MaRDI QIDQ5927996

Montserrat Vela

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.1999.0384

zbMATH Keywords

central extensions of groupscohomology classcyclic kernelGalois embedding problemsGalois symbolsgeneralized Clifford algebraobstruction

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Clifford algebras, spinors (15A66)

Related Items (2)

CENTRAL SIMPLE -GRADED ALGEBRAS ⋮ On the Galois embedding problem associated to the universal central extension of the alternating group of degree 6

Cites Work

• Explicit construction of \(\tilde A_ n\) type fields
• Explicit construction of \(2S_ n\) Galois extensions
• The Witt invariant of the form \(\text{Tr}(x^ 2)\)
• Solutions explicites de problèmes de plongement. (Explicit solutions of imbedding problems)
• Central \(p\)-extensions of \((p, p, \dots, p)\)-type Galois groups
• Graded algebra automorphisms
• Solutions to central embedding problems are constructible
• Orthogonal representations of Galois groups, Stiefel-Whitney classes and Hasse-Witt invariants.
• Explicit solutions to embedding problems associated to orthogonal Galois representations.
• Embedding Galois Problems and Reduced Norms
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Explicit solutions of Galois embedding problems by means of generalized Clifford algebras