Loading...
| Friend's email | |
| Your name | |
| Your email | |
| enter code | |
This page was sent successfuly
- Type of Document: M.Sc. Thesis
- Language: Farsi
- Document No: 47738 (02)
- University: Sharif University of Technology
- Department: Mathematical Sciences
- Advisor(s): Mahdavi Hazavehi, Mohammad
- Abstract:
- Given a divisible finite field extension KjF, the structure of Br(F), the Brauer group of F, is investigated. It is shown that, if F is indivisible, then Br(F) = Z2, which generalizes the Frobenius Theorem. As a consequence, when F is indivisible, the class of all finite dimensional non-commutative F-central division algebras D having radicable multiplicative groups D is determined. In fact, it is proved that the following statements are equivalent: (1) D is radicable, (2) D contains a divisible subfield KjF, and (3) D is the ordinary quaternion division algebra and F(p 1) is divisible
- Keywords:
- DIVISION GROUP ; Division Algebra ; Finite Field Extension
Digital Object List
-
محتواي کتاب
- view
Bookmark