Hostname: page-component-848d4c4894-2pzkn Total loading time: 0 Render date: 2024-05-19T05:31:42.711Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

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