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Algebraic K-Theory: Connections with Geometry and Topology pp 87–102Cite as

Class Numbers, Units and K2

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Part of the book series: NATO ASI Series ((ASIC,volume 279))

Abstract

This paper deals with topics from Algebraic Number Theory and Algebraic K-Theory. It establishes relationships between the class number and the signs of units of an algebraic number field on one side, and the order and the structure of the 2-primary subgroup of the Milnor K-group over the ring of integers of the number field on the other side.

This relates to the Birch-Tate conjecture and a classical question on Sophie Germain primes.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Louisiana State University, Baton Rouge, LA, 70803, USA

    Jurgen Hurrelbrink

Authors
  1. Jurgen Hurrelbrink
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Editor information

Editors and Affiliations

  1. Mathematics Department, University of Western Ontario, London, Ontario, Canada

    J. F. Jardine

  2. Mathematics Department, McMaster University, Hamilton, Ontario, Canada

    V. P. Snaith

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© 1989 Kluwer Academic Publishers

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Hurrelbrink, J. (1989). Class Numbers, Units and K2 . In: Jardine, J.F., Snaith, V.P. (eds) Algebraic K-Theory: Connections with Geometry and Topology. NATO ASI Series, vol 279. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2399-7_4

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  • DOI: https://doi.org/10.1007/978-94-009-2399-7_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7580-0

  • Online ISBN: 978-94-009-2399-7

  • eBook Packages: Springer Book Archive

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