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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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The indecomposable $K_3$ of fields
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by Marc Levine PDF
Bull. Amer. Math. Soc. 17 (1987), 321-325
References
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  • Armand Borel, Stable real cohomology of arithmetic groups, Ann. Sci. Ɖcole Norm. Sup. (4) 7 (1974), 235ā€“272 (1975). MR 387496, DOI 10.24033/asens.1269
  • [M-S] A. S. Merkurjev and A. A. Suslin, K-cohomology of Severi-Brauer varieties and the norm residue homomorphism, Math. USSR-Izv. 21 (1983), 307-340.
  • Daniel Quillen, Finite generation of the groups $K_{i}$ of rings of algebraic integers, Algebraic $K$-theory, I: Higher $K$-theories (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972) Lecture Notes in Math., Vol. 341, Springer, Berlin, 1973, pp.Ā 179ā€“198. MR 0349812
  • Daniel Quillen, On the cohomology and $K$-theory of the general linear groups over a finite field, Ann. of Math. (2) 96 (1972), 552ā€“586. MR 315016, DOI 10.2307/1970825
  • C. SoulĆ©, $K$-thĆ©orie des anneaux dā€™entiers de corps de nombres et cohomologie Ć©tale, Invent. Math. 55 (1979), no.Ā 3, 251ā€“295 (French). MR 553999, DOI 10.1007/BF01406843
  • A. A. Suslin, Mennicke symbols and their applications in the $K$-theory of fields, Algebraic $K$-theory, Part I (Oberwolfach, 1980) Lecture Notes in Math., vol. 966, Springer, Berlin-New York, 1982, pp.Ā 334ā€“356. MR 689382
  • John Tate, Relations between $K_{2}$ and Galois cohomology, Invent. Math. 36 (1976), 257ā€“274. MR 429837, DOI 10.1007/BF01390012
  • Charles A. Weibel, Mennicke-type symbols for relative $K_{2}$, Algebraic $K$-theory, number theory, geometry and analysis (Bielefeld, 1982) Lecture Notes in Math., vol. 1046, Springer, Berlin, 1984, pp.Ā 451ā€“464. MR 750695, DOI 10.1007/BFb0072036
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 17 (1987), 321-325
  • MSC (1985): Primary 18F25, 19F27, 19D55
  • DOI: https://doi.org/10.1090/S0273-0979-1987-15577-7
  • MathSciNet review: 903743