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Valuated division algebras and crossed products

✍ Scribed by Achim Kupferoth

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
549 KB
Volume
108
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES

Embedding Division Algebras in Crossed P
Embedding Division Algebras in Crossed Products
✍ Burton Fein; David J. Saltman; Murray Schacher πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 161 KB

Let F be an arbitrary field and let D be a division algebra having center F which is finite dimensional over F. In general, there need not exist a maximal subfield E of D which is Galois over F. If such an E exists, we Ε½ call D a crossed product or G G-crossed product if G G is the Galois group of .

Division Algebras Not Embeddable in Cros
Division Algebras Not Embeddable in Crossed Products
✍ Eric S. Brussel πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 317 KB

We show that division algebras do not always embed in crossed product division algebras, so the latter do not serve as ''Galois closures'' for division algebras. We construct decomposable noncrossed product division algebras of prime-power index over rational function fields and Laurent series field