Let be an odd prime such that the Greenberg conjecture holds for the maximal real cyclotomic subfield
of
. Let
be the
-part of the class group of
, the
-th field in the cyclotomic tower, and let
,
be the global and cyclotomic units of
, respectively. We prove that under this premise, there is some
such that for all
, the class number formula
hides in fact an isomorphism of
-modules.
On an isomorphism lying behind the class number formula
Crişan, Vlad
Abstract
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Additional Information
Author(s) | Crişan, Vlad |
---|---|
DOI | https://doi.org/10.37193/CJM.2017.01.05 |