A bound on the index of exponent-4 algebras in terms of the \(u\)-invariant

arXiv2301.03378MaRDI QIDQ6120513

Fatma Kader Bingöl, Karim Johannes Becher

Publication date: 21 February 2024

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.03378

zbMATH Keywords

\(u\)-invariantexponentindexBrauer groupsymbol lengthcyclic algebra

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Finite-dimensional division rings (16K20) Brauer groups (algebraic aspects) (16K50) Skew fields, division rings (12E15)

Cites Work

• Open problems on central simple algebras.
• Biquaternion algebras and quartic extensions
• Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate
• Quadratic forms and the u-invariant. I
• $ K$-COHOMOLOGY OF SEVERI-BRAUER VARIETIES AND THE NORM RESIDUE HOMOMORPHISM
• Quelques remarques sur le $u$-invariant
• The Index of a Brauer Class on a Brauer-Severi Variety
• Supreme Pfister Forms
• Simple Algebras of Degree p e Over a Centrum of Characteristic p
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item