Additive structure of multiplicative subgroups of fields and Galois theory

zbMath1073.11025arXivmath/0110283MaRDI QIDQ1769044

Tara L. Smith, Louis Mahé, Mináč, Ján

Publication date: 16 March 2005

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0110283

zbMATH Keywords

Galois groupessential groupH-orderingW-group

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15)

Related Items (8)

The Galois action on geometric lattices and the mod-\(\ell \) I/OM ⋮ Commuting-liftable subgroups of Galois groups. II ⋮ Pro-\(\ell\) abelian-by-central Galois theory of prime divisors ⋮ Profinite groups with a cyclotomic \(p\)-orientation ⋮ Quotients of absolute Galois groups which determine the entire Galois cohomology ⋮ Abelian-by-central Galois groups of fields. II: Definability of inertia/decomposition groups ⋮ \(n\)-th root selections in fields ⋮ Homomorphisms of multiplicative groups of fields preserving algebraic dependence

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