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Isomorphisms of Four Dimensional Perfect Non-simple Evolution Algebras Read chapter Read first chapter

2020 | OriginalPaper | Chapter

The 4-Rank of the Class Group of Some Real Pure Quartic Number Fields

Authors : Mbarek Haynou, Mohammed Taous

Published in: Associative and Non-Associative Algebras and Applications

Publisher: Springer International Publishing

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Abstract

Let https://static-content.springer.com/image/chp%3A10.1007%2F978-3-030-35256-1_12/477717_1_En_12_IEq1_HTML.gif be a real pure quartic number field and https://static-content.springer.com/image/chp%3A10.1007%2F978-3-030-35256-1_12/477717_1_En_12_IEq2_HTML.gif its real quadratic subfield, where \(p\equiv 5 \pmod 8 \) and \( q\equiv 1 \pmod 4\) are two different odd prime numbers such that \((\frac{p}{q})=1\). In this work, we are interested in studying the 2-rank and the 4-rank of the class group of K.

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previous chapter Semi-ring Based Gröbner–Shirshov Bases over a Noetherian Valuation Ring
next chapter Frobenius Monoidal Algebras and Related Topics
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Metadata
Title
The 4-Rank of the Class Group of Some Real Pure Quartic Number Fields
Authors
Mbarek Haynou
Mohammed Taous
Copyright Year
2020
Book
Associative and Non-Associative Algebras and Applications

Print ISBN: 978-3-030-35255-4

Electronic ISBN: 978-3-030-35256-1

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-35256-1_12

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