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Classnumbers and unit signatures

Published online by Cambridge University Press:  26 February 2010

J. V. Armitage  and
A. Fröhlich
J. V. Armitage
Affiliation:
The University of Durham and King's College, London.
A. Fröhlich
Affiliation:
The University of Durham and King's College, London.
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Extract

We shall establish here a new relation between the classnumber h of an algebraic number field K and the signature of its group of units Y.

Write dim2(A) for the number of even invariants of a finite Abelian group A. Denote by C the absolute classgroup of K (ideals modulo principal ideals), and by P the quotient group of principal ideals modulo totally positive principal ideals.

Type
Research Article
Information
Mathematika , Volume 14 , Issue 1 , June 1967 , pp. 94 - 98
Copyright
Copyright © University College London 1967

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References

1.Armitage, J. V., “On a theorem of Hecke in number fields and function fields”, Inventiones Math., 2 (1967), 238–246.CrossRefGoogle Scholar