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Embedding finite groups in rational division algebras. I

โœ Scribed by Burton Fein; Murray Schacher

Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
979 KB
Volume
17
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 .