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Generators and Relations for Cyclotomic Units

Published online by Cambridge University Press:  22 January 2016

Hyman Bass*
Affiliation:
Columbia University, New York, N. Y.U.S.A.
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We prove here an unpublished conjecture of Milnor which gives a complete set of multiplicative relations between the numbers

e′(ζ) = 1−ζ,

where ranges over complex roots of unity. Information of this type is useful in certain areas of topology as well as in number theory.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

[1] Artin, E. and Tate, J., Class Field Theory, Harvard, 1963.Google Scholar
[2] Bass, H., The Dirichlet Unit Theorem, Induced Characters, and Whitehead Groups of Finite Groups. Topology (to appear).Google Scholar