Symbol length in the Brauer group of a field

DOI10.1090/tran/6326zbMath1339.12002arXiv1402.0332OpenAlexW2086411067MaRDI QIDQ3448992

Eliyahu Matzri

Publication date: 3 November 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.0332

Mathematics Subject Classification ID

Galois cohomology (12G05) Higher symbols, Milnor (K)-theory (19D45) Brauer groups (algebraic aspects) (16K50) (K_2) and the Brauer group (19C30)

Related Items

Kummer spaces in symbol algebras of prime degree, Kato-Milne cohomology and polynomial forms, On Brauer \(p\)-dimensions and absolute Brauer \(p\)-dimensions of Henselian fields, On Brauer \(p\)-dimensions and index-exponent relations over finitely-generated field extensions., Period-index bounds for arithmetic threefolds, Symbol length in Brauer groups of elliptic curves, Kummer subspaces of tensor products of cyclic algebras, Locally finite central simple algebras, Tensor products of cyclic algebras of degree 4 and their Kummer subspaces, Applications of the Bloch-Kato conjecture to cohomological invariants and symbol length, Essential Dimension, Symbol Length and -rank, The period-index problem for fields of transcendence degree 2, Symbol \(p\)-algebras of prime degree and their \(p\)-central subspaces, On the behaviour of Brauer \(p\)-dimensions under finitely-generated field extensions., A birational interpretation of Severi-Brauer varieties, Noncyclic division algebras over fields of Brauer dimension one, Symbol length of p-algebras of prime exponent

Cites Work

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• \(\mathbb Z_3 \times\mathbb Z_3\) crossed products.
• Open problems on central simple algebras.
• Applications of patching to quadratic forms and central simple algebras
• A reciprocity law for \(K_2\)-traces
• The period-index problem for the Brauer group of an algebraic surface
• On quasi algebraic closure
• Cyclic length in the tame Brauer group of the function field of a p-adic curve
• $ K$-COHOMOLOGY OF SEVERI-BRAUER VARIETIES AND THE NORM RESIDUE HOMOMORPHISM
• Cyclic Algebras of Small Exponent
• Note on a paper of Lang concerning quasi algebraic closure
• Essential 𝑝-dimension of 𝐏𝐆𝐋(𝐩²)
• Corps a Involution Neutralises par une Extension Abelienne Elementaire
• Dihedral Algebras are Cyclic
• FIELDS OF DEFINITION FOR DIVISION ALGEBRAS
• Twisted sheaves and the period-index problem
• Finite-Dimensional Division Algebras over Fields