Explicit solutions to embedding problems associated to orthogonal Galois representations.

DOI10.1515/CRLL.1990.409.180zbMath0696.12020OpenAlexW4248811780MaRDI QIDQ3472213

Teresa Crespo

Publication date: 1990

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN00220780X

zbMATH Keywords

Galois groupembedding problemsecond Stiefel-Whitney classlinear representationorthogonal representationorthogonal Galois representations

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Separable extensions, Galois theory (12F10) Galois cohomology (12G05) Representations of groups as automorphism groups of algebraic systems (20F29)

Related Items (5)

CENTRAL SIMPLE -GRADED ALGEBRAS ⋮ Embedding Galois Problems and Reduced Norms ⋮ Explicit solutions of Galois embedding problems by means of generalized Clifford algebras ⋮ Construction of \(2^mS_n\)-fields containing a \(C_{2^m}\)-field ⋮ Resolution of a family of Galois embedding problems with cyclic kernel

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