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Brauer groups of rational function fields
Author(s):
Burton
Fein;
Murray
Schacher;
Jack
Sonn
Journal:
Bull. Amer. Math. Soc.
1
(1979),
766-768.
MSC (1970):
Primary 16A40;
Secondary 12A50
MathSciNet review:
537628
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Additional information
References:
- 1.
- M. Auslander and A. Brumer, Brauer groups of discrete valuation rings, Nederl. Akad. Wetensch. Proc. Ser. A 71 (1968), 286-296. MR 228471
- 2.
- M. Deuring, Algebren, Springer-Verlag, New York, 1966. MR 228526
- 3.
- B. Fein and M. Schacher, Ulm invariants of the Brauer group of a field. Math Z. 154 (1977), 41-50. MR 457410
- 4.
- B. Fein and M. Schacher, Ulm invariants of the Brauer group of a field. II, Math. Ž. 163 (1978), 1-3. MR 510319
- 5.
- B. Fein and M. Schacher, Brauer groups and character groups of function fields, J. Algebra (to appear). MR 739950
- 6.
- I. Kaplansky. Infinite abelian groups, University of Michigan Press, Ann Arbor, Mich., 1956. MR 65561
- 7.
- J. Sonn, Class groups and Brauer groups, Israel J. Math, (to appear). MR 571397
- 8.
- O. Yahagi, Construction of number fields with prescribed l-class groups, Tokyo J. Math. 1 (1978), 275-284. MR 519197
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Additional Information:
DOI:
10.1090/S0273-0979-1979-14658-5
PII:
S 0273-0979(1979)14658-5
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