The indecomposable $K_3$ of fields
HTML articles powered by AMS MathViewer
- by Marc Levine PDF
- Bull. Amer. Math. Soc. 17 (1987), 321-325
References
- H. Bass and J. Tate, The Milnor ring of a global field, Algebraic $K$-theory, II: āClassicalā algebraic $K$-theory and connections with arithmetic (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972) Lecture Notes in Math., Vol. 342, Springer, Berlin, 1973, pp.Ā 349ā446. MR 0442061, DOI 10.1007/BFb0073733
- Armand Borel, Stable real cohomology of arithmetic groups, Ann. Sci. Ćcole Norm. Sup. (4) 7 (1974), 235ā272 (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 179ā198. 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), 552ā586. MR 315016, DOI 10.2307/1970825
- C. SoulĆ©, $K$-thĆ©orie des anneaux dāentiers de corps de nombres et cohomologie Ć©tale, Invent. Math. 55 (1979), no.Ā 3, 251ā295 (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 334ā356. MR 689382
- John Tate, Relations between $K_{2}$ and Galois cohomology, Invent. Math. 36 (1976), 257ā274. 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 451ā464. MR 750695, DOI 10.1007/BFb0072036
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