On Brauer \(p\)-dimensions and index-exponent relations over finitely-generated field extensions.

DOI10.1007/s00229-015-0745-7zbMath1337.16015arXiv1501.05977OpenAlexW2143082489MaRDI QIDQ889641

Ivan D. Chipchakov

Publication date: 9 November 2015

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

Full work available at URL: https://arxiv.org/abs/1501.05977

zbMATH Keywords

exponentBrauer groupscentral simple algebrasindexcentral division algebrasHenselian fieldsBrauer dimensionfinitely generated field extensionsabsolute Brauer \(p\)-dimensionabsolute Brauer dimensionBrauer \(p\)-dimension

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Finite-dimensional division rings (16K20) Transcendental field extensions (12F20) Brauer groups (algebraic aspects) (16K50) Skew fields, division rings (12E15) Valued fields (12J10)

Related Items

On the Brauer \(p\)-dimension of Henselian discrete valued fields of residual characteristic \(p > 0\), On Brauer \(p\)-dimensions and absolute Brauer \(p\)-dimensions of Henselian fields, Henselian discrete valued stable fields, On the behaviour of Brauer \(p\)-dimensions under finitely-generated field extensions.

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