Prime to \(p\) extensions of division algebras

DOI10.1007/BF02808057zbMath0795.16012MaRDI QIDQ1802741

David J. Saltman, Louis Halle Rowen

Publication date: 29 June 1993

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

crossed productcyclic extensionsfinite dimensional division algebracentral subalgebrasprime to \(p\)- extensionsprime to \(p\)-extensiontensor product of division algebras

Mathematics Subject Classification ID

Finite-dimensional division rings (16K20) Twisted and skew group rings, crossed products (16S35) Skew fields, division rings (12E15)

Related Items

Kummer subfields of tame division algebras ⋮ Torsion in \(\text{CH}^ 2\) of Severi-Brauer varieties and indecomposability of generic algebras ⋮ \(\mathbb Z_3 \times\mathbb Z_3\) crossed products. ⋮ Prime to \(p\) extensions of the generic Abelian crossed product. ⋮ Indecomposable \(p\)-algebras and Galois subfields in generic Abelian crossed products. ⋮ Essential \(p\)-dimension of \(\text{PGL}_n\). ⋮ Open problems on central simple algebras. ⋮ Essential 𝑝-dimension of 𝐏𝐆𝐋(𝐩²) ⋮ An upper bound on the essential dimension of a central simple algebra.

Cites Work

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• Cyclic division algebras
• Azumaya algebras with involution
• Separable algebras over commutative rings
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• Splittings of Cyclic p-Algebras