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Two-primary algebraic K-theory of two-regular number fields

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Abstract.

We explicitly calculate all the 2-primary higher algebraic K-groups of the rings of integers of all 2-regular quadratic number fields, cyclotomic number fields, or maximal real subfields of such. Here 2-regular means that (2) does not split in the number field, and its narrow Picard group is of odd order.

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Authors and Affiliations

  1. Department of Mathematics, University of Oslo, 0316 Oslo, Norway (e-mail: rognes@math.uio.no / paularne@math.uio.no) , , , , , , NO

    John Rognes & Paul Arne Østvær

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  1. John Rognes
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  2. Paul Arne Østvær
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Received August 1, 1998

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Rognes, J., Østvær, P. Two-primary algebraic K-theory of two-regular number fields. Math Z 233, 251–263 (2000). https://doi.org/10.1007/PL00004795

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  • DOI: https://doi.org/10.1007/PL00004795

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