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Class Number and Ramification in Number Fields

Published online by Cambridge University Press:  22 January 2016

Armand Brumer  and
Michael Rosen
Armand Brumer
Affiliation:
Boston College, Brown University
Michael Rosen
Affiliation:
Boston College, Brown University
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In the ring Ok of algebraic integers of a number field K the group Ik of ideals of Ok modulo the subgroup Pk of principal ideals is a finite abelian group of order hk, the class number of K. The determination of this number is an outstanding problem of algebraic number theory.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 23 , December 1963 , pp. 97 - 101
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1963

References

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[4] Artin-Tate Class field theory, Notes by Lang, S., Harvard 1956.Google Scholar