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Algebraic K-Theory of Rings of Integers in Local and Global Fields

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Handbook of K-Theory

Abstract

This survey describes the algebraic K-groups of local and global fields, and the K-groups of rings of integers in these fields. We have used the result of Rost and Voevodsky to determine the odd torsion in these groups.

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  1. Department of Mathematics, Rutgers University, 08903, New Brunswick, NJ, USA

    Charles Weibel

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  1. Charles Weibel
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  1. Department of Mathematics, Northwestern University, 60208, Evanston, IL, USA

    Eric M. Friedlander

  2. Department of Mathematics, University of Illinois at Urbana-Champaign, 61801, Urbana, IL, USA

    Daniel R. Grayson

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Weibel, C. (2005). Algebraic K-Theory of Rings of Integers in Local and Global Fields. In: Friedlander, E., Grayson, D. (eds) Handbook of K-Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-27855-9_5

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