Noncrossed product p-algebras and Galois p-extensions

DOI10.1016/0021-8693(78)90240-5zbMath0391.13002OpenAlexW1969009611MaRDI QIDQ1251257

David J. Saltman

Publication date: 1978

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(78)90240-5

Mathematics Subject Classification ID

Brauer groups of schemes (14F22) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Galois theory and commutative ring extensions (13B05)

Related Items (16)

Cyclic and elementary abelian subfields of Malcev-Neumann division algebras ⋮ Produits croisés mixtes: extensions de groupes et extensions d'anneaux ⋮ Noncrossed Products of Small Exponent ⋮ Nondegenerate Semiramified Valued and Graded Division Algebras ⋮ 𝑝-group Galois covers of curves in characteristic 𝑝 ⋮ \(\text{SK}_1\) of graded division algebras. ⋮ Generic Galois extensions and problems in field theory ⋮ Unnamed Item ⋮ Indecomposable \(p\)-algebras and Galois subfields in generic Abelian crossed products. ⋮ Open problems on central simple algebras. ⋮ A New Construction of Noncrossed Product Algebras ⋮ Noncyclic division algebras ⋮ Subfields of Nondegenerate Tame Semiramified Division Algebras ⋮ Moduli of p-covers of curves ⋮ On p-extensions of an algebra of characteristic p ⋮ Kummer subfields of Malcev-Neumann division algebras

Cites Work

• Generic Abelian crossed products and \(p\)-algebras
• Separable algebras over commutative rings
• On central division algebras
• Noncrossed Products of Small Exponent
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