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Semidirect product division algebras

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Publication:677431
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DOI10.1007/BF02937322zbMath0874.16013MaRDI QIDQ677431

David J. Saltman, Louis Halle Rowen

Publication date: 9 November 1997

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


zbMATH Keywords

group algebrasGalois extensionscentral simple algebrasfixed ringssymbol algebrascentral division algebrasmaximal subfieldsaccessible algebrasBrauer classescyclic field extensionssoluble splitting fields


Mathematics Subject Classification ID

Finite-dimensional division rings (16K20)


Related Items

Galois cohomology of fields without roots of unity, Open problems on central simple algebras.


Uses Software

  • Mathematica


Cites Work

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  • A reciprocity law for \(K_2\)-traces
  • Generic Galois extensions and problems in field theory
  • Azumaya algebras with involution
  • Division algebras that ramify only along a singular plane cubic curve
  • Théorie de la descente et algèbres d'Azumaya
  • Separable algebras over commutative rings
  • Dihedral Algebras are Cyclic
  • Dihedral Algebras are Cyclic
  • La $R$-équivalence sur les tores
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