A generalized Iwasawa’s theorem and its application

We generalize a theorem of Iwasawa on capitulation kernels of class groups over Z p -extensions of number fields to all Z p d -extensions and discuss some of its applications.

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Bibliographic Details
Published in:Research in the mathematical sciences 2021-06, Vol.8 (2), Article 20
Main Authors: Lai, King Fai, Tan, Ki-Seng
Format: Article
Language:English
Subjects:
Applications of Mathematics
Computational Mathematics and Numerical Analysis
Mathematics
Mathematics and Statistics
Number theory
Theorems
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Description
Summary:We generalize a theorem of Iwasawa on capitulation kernels of class groups over Z p -extensions of number fields to all Z p d -extensions and discuss some of its applications.
ISSN:2522-0144
2197-9847
DOI:10.1007/s40687-021-00258-3