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Class Number and Ramification in Number Fields

Published online by Cambridge University Press:  22 January 2016

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
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1963

References

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[3] Chevalley, Cl. Class field theory, Notes at Nagoya University 1954.Google Scholar
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