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A sum-product estimate in algebraic division algebras

โœ Scribed by Mei-Chu Chang

Book ID
110671475
Publisher
The Hebrew University Magnes Press
Year
2005
Tongue
English
Weight
384 KB
Volume
150
Category
Article
ISSN
0021-2172

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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 .