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Mathematische Nachrichten
Article . 2005 . Peer-reviewed
License: Wiley Online Library User Agreement
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zbMATH Open
Article . 2005
Data sources: zbMATH Open
https://dx.doi.org/10.48550/ar...
Article . 2003
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Class groups of dihedral extensions

Authors: Lemmermeyer, F.;

Class groups of dihedral extensions

Abstract

AbstractLet L/F be a dihedral extension of degree 2p, where p is an odd prime. Let K/F and k/F be subextensions of L/F with degrees p and 2, respectively. Then we will study relations between the p‐ranks of the class groups Cl(K) and Cl(k). (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Turkey
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Keywords

Mathematics - Number Theory, Embedding problems, Dihedral extension, Class numbers, class groups, discriminants, 11R29, dihedral extension, Reflection theorems, Class groups, Cubic and quartic extensions, FOS: Mathematics, unramified extensions, Number Theory (math.NT), Unramified extensions, reflection theorems, embedding problems

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
12
Average
Top 10%
Average
Green
bronze