Abstract

The units O*, lying within the domain of integers O, of a number field k form a group. The most useful definition is
$$ O* = \left\{ {\omega \left| {\omega \varepsilon O,{\text{ N}}\omega {\text{ = }} \pm {\text{1}}} \right.} \right\}. $$
(11.1)

Keywords

Prime Divisor Fundamental Unit Torsion Subgroup Negative Norm Elementary Number Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York Inc. 1978

Authors and Affiliations

  • Harvey Cohn
    • 1
  1. 1.City CollegeCity University of New YorkNew YorkUSA

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