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On the Brauer group of a two-dimensional local field.
- Source :
-
Mathematical Notes . Jun/Jul2007, Vol. 81 Issue 5/6, p753-756. 4p. - Publication Year :
- 2007
-
Abstract
- The two-dimensional local field K = F q(( u))(( t)), char K = p, and its Brauer group Br( K) are considered. It is proved that, if L = K( x) is the field extension for which we have x p − x = ut − p =: h, then the condition that ( y, f | h]K = 0 for any y ε K is equivalent to the condition f ε Im(Nm( L*)). [ABSTRACT FROM AUTHOR]
- Subjects :
- *LOCAL fields (Algebra)
*BRAUER groups
*ALGEBRAIC fields
*ABELIAN groups
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 00014346
- Volume :
- 81
- Issue :
- 5/6
- Database :
- Academic Search Index
- Journal :
- Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 32853703
- Full Text :
- https://doi.org/10.1134/S0001434607050227