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Proceedings of the American Mathematical Society

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On the exponent of norm residue groups

Authors: W. Hürlimann and D. Saltman
Journal: Proc. Amer. Math. Soc. 93 (1985), 417-419
MSC: Primary 11R34; Secondary 12G05
MathSciNet review: 773993
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Abstract: We compute the exponent of some norm residue groups in the number theoretic case (global fields). We use the method of Galois cohomology and the theory of the Brauer group over a global field.

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  • [1] Algebraic number theory, Proceedings of an instructional conference organized by the London Mathematical Society (a NATO Advanced Study Institute) with the support of the International Mathematical Union. Edited by J. W. S. Cassels and A. Fröhlich, Academic Press, London; Thompson Book Co., Inc., Washington, D.C., 1967. MR 0215665
  • [2] Max Deuring, Algebren, Zweite, korrigierte auflage. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 41, Springer-Verlag, Berlin-New York, 1968 (German). MR 0228526
  • [3] I. Reiner, Maximal orders, Academic Press [A subsidiary of Harcourt Brace Jovanovich, Publishers], London-New York, 1975. London Mathematical Society Monographs, No. 5. MR 0393100
  • [4] Shuichi Takahashi, Cohomology groups of finite abelian groups, Tôhoku Math. J. (2) 4 (1952), 294–302. MR 0056606,
  • [5] Tadao Tannaka, On the normal form of cohomology groups, J. Math. Soc. Japan 6 (1954), 16–31. MR 0087672,

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