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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 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Étale $K$-theory and arithmetic
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by William G. Dwyer and Eric M. Friedlander PDF
Bull. Amer. Math. Soc. 6 (1982), 453-455
References
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  • William Dwyer, Eric Friedlander, Victor Snaith, and Robert Thomason, Algebraic $K$-theory eventually surjects onto topological $K$-theory, Invent. Math. 66 (1982), no. 3, 481–491. MR 662604, DOI 10.1007/BF01389225
  • Eric M. Friedlander, Étale $K$-theory. II. Connections with algebraic $K$-theory, Ann. Sci. École Norm. Sup. (4) 15 (1982), no. 2, 231–256. MR 683636
  • B. Harris and G. Segal, $K_{i}$ groups of rings of algebraic integers, Ann. of Math. (2) 101 (1975), 20–33. MR 387379, DOI 10.2307/1970984
  • Stephen Lichtenbaum, Values of zeta-functions, étale cohomology, and algebraic $K$-theory, Algebraic $K$-theory, II: “Classical” 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. 489–501. MR 0406981
  • C. Soulé, $K$-théorie des anneaux d’entiers de corps de nombres et cohomologie étale, Invent. Math. 55 (1979), no. 3, 251–295 (French). MR 553999, DOI 10.1007/BF01406843
  • Christophe Soulé, On higher $p$-adic regulators, Algebraic $K$-theory, Evanston 1980 (Proc. Conf., Northwestern Univ., Evanston, Ill., 1980) Lecture Notes in Math., vol. 854, Springer, Berlin-New York, 1981, pp. 372–401. MR 618313, DOI 10.1007/BFb0089530
  • R. W. Thomason, Algebraic $K$-theory and étale cohomology, Ann. Sci. École Norm. Sup. (4) 18 (1985), no. 3, 437–552. MR 826102
  • R. W. Thomason, The Lichtenbaum-Quillen conjecture for $K/l_\ast [\beta ^{-1}]$, Current trends in algebraic topology, Part 1 (London, Ont., 1981) CMS Conf. Proc., vol. 2, Amer. Math. Soc., Providence, R.I., 1982, pp. 117–139. MR 686114
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 6 (1982), 453-455
  • MSC (1980): Primary 18F25; Secondary 12A60, 55N15
  • DOI: https://doi.org/10.1090/S0273-0979-1982-15013-3
  • MathSciNet review: 648533