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Generators and Relations for Cyclotomic Units

Published online by Cambridge University Press:  22 January 2016

Hyman Bass
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We prove here an unpublished conjecture of Milnor which gives a complete set of multiplicative relations between the numbers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
Information
Nagoya Mathematical Journal , Volume 27 , Issue 2 , July 1966 , pp. 401 - 407
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