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Projective Schur Division Algebras Are Abelian Crossed Products

โœ Scribed by E. Aljadeff; J. Sonn

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
431 KB
Volume
163
Category
Article
ISSN
0021-8693

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๐Ÿ“œ SIMILAR VOLUMES

Embedding Division Algebras in Crossed P
Embedding Division Algebras in Crossed Products
โœ Burton Fein; David J. Saltman; Murray Schacher ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 ลฝ 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
โœ Eric S. Brussel ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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