scientific article; zbMATH DE number 930357

zbMath0886.12001MaRDI QIDQ4894122

Falko Lorenz

Publication date: 1 October 1996

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

cohomology groupsramification indexquadratic formsWitt vectorsBrauer grouplocal class field theoryHilbert's seventeenth problemSchur group of a fieldsemisimple representations of finite groupsTsen-level of fieldsWedderburn theory

Mathematics Subject Classification ID

Galois cohomology (11S25) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Polynomials in general fields (irreducibility, etc.) (12E05) Integral representations of finite groups (20C10) Ramification and extension theory (11S15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01) Class field theory; (p)-adic formal groups (11S31) Ordered fields (12J15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra (13-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory (20-01) Valued fields (12J10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to field theory (12-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to associative rings and algebras (16-01)

Related Items (4)

Algorithmic proof of the epsilon constant conjecture ⋮ A scholion on Hilbert's Theorem 90 ⋮ Group algebras which are direct products of division algebras. ⋮ Witt vectors. Part 1

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