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The Mercurjev-Suslin Theorem

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Algebraic K-Theory

Part of the book series: Progress in Mathematics ((PM,volume 90))

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Abstract

Let F be a field, F̄ a separable closure of F, G = Gal (F̄/F). Let n>0 be an integer relatively prime to char. F.

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References

  1. A.S. Mercurjev, A.A. Suslin: K-cohamology of Severi-Brauer varieties and the norm residue homomorphism, Math. USSR Izv. 21 (1983) 307–340 (English translation).

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  2. C. Soule: K2 et le groupe de Brauer (d’apres A.S. Mercurjev et A.A. Suslin), Seminaire Bourbaki 601, Nov. 1982.

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  3. A.A. Suslin: Algebraic K-theory and the norm-residue homomorphism, Journal of Soviet Mathematics, (195) 2556-2611.

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  4. J.-P. Serre: Local fields, Grad. Texts No.67, Springer-Verlag (1979).

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  5. J. Tate: Relations between K2 and Galois cohomology, Invent. Math. 36 (1976) 257–274.

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Authors and Affiliations

  1. School of Mathematics, Tata Institute of Fundamental Research, Bombay, India

    V. Srinivas

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  1. V. Srinivas
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© 1991 Springer Science+Business Media New York

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Srinivas, V. (1991). The Mercurjev-Suslin Theorem. In: Algebraic K-Theory. Progress in Mathematics, vol 90. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4899-6735-0_8

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  • DOI: https://doi.org/10.1007/978-1-4899-6735-0_8

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4899-6737-4

  • Online ISBN: 978-1-4899-6735-0

  • eBook Packages: Springer Book Archive

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